No. I'm trying to clarify them and what they entail.
People who are trying to clarify someone else's position usually ask questions about that position, not take off half-cocked with their misunderstandings.
It is not impossible to reject every single god anymore than it is to say that atheists lack any belief about "god". If we are dealing with certain theists and their conceptions of gods, such as that in which humans with the right mindset are gods, or with atheists who believe in supernatural entities that some consider to be gods (like spirits), we find that there is overlap. So we need a definition for theist, atheist, and god regardless of belief simply because some definitions of god all atheists believe in (like that mentioned in which humans are said to be gods) and some atheists believe in entities that others consider gods. Without definitions of the type you seek to avoid we still have overlap. Also, if by a disbelief in every god we must have a clear picture of what this is apart from a few properties that describe every deity I'm familiar with, then we run into the problem of whether any definition of theist is tenable. And you bolster this by claiming that you yourself can't even conceive of god (making god basically completely indescribable in any way). If conceptions of god vary so greatly and the concept is so inconceivable than theists can't be said to believe in god. We can't determine whether a given conception of god should qualify.
However, we can fix much of this by saying that atheists don't believe in any gods. Why? Because then we can have atheists say what properties they can't believe a god would have. If there is a theist who believes in a god with none of these properties, there is no reason to say that atheists cannot respond that this isn't what the concept refers to. Problem solved.
So Sun-worshippers, panentheists, and all other theists who believe that "natural" things are gods are actually atheists?
People who believe in ghosts but not gods aren't atheists?
This doesn't match how people actually use the term "atheist".
And it's necessary just to prevent the overlap. If we can't have a theist be an atheist, then it cannot be the case that atheists simply lack a belief about whatever conception of god they choose. That allows overlap.
No, it doesn't. When "atheist" is defined as "a person who is not a theist", then there is
necessarily no overlap between "atheist" and "theist".
It is possible for an atheist to decide that they believe the universe itself has a purpose and a kind of mind (I've met one) but believe this is not god. For many theists, although not most, that's what god is. We have overlap. This game of phrasing it as a lack of belief still allows for overlap because atheists still have beliefs about things even if you were correct about this whole "lack" argument. Some of the things they believe are considered gods by some. The only way to avoid overlap is to determine that there are certain properties ascribed to the prototypical exemplars of "god" cross-culturally and surprise surprise there is!
You just illustrated why we define theism in terms of the believer's own beliefs about what "god" means. A Sun-worshipper is a theist; a person who believes the Sun exists but doesn't consider it a god is an atheist (provided he doesn't believe in anything else he considers a god, of course). We don't need to make some objective determination of whether the Sun really is a a god or not; we just go by whether each person considers it to be a god.
That's why we have a word for it that serves quite well to describe things as diverse as a god of corn and a single god with three distinct selves one of which was a 1st century Jewish peasant turned messianic preacher and reformer. Classification is central to cognition (one might even say that in many ways it is cognition) and it involves categorizing things as similar as much as it does things as different. We have one word because there is enough overlap in vastly distinct uses for us to determine that, in order for terms like atheism or theism to have any meaning, we have to rely on more general meanings rather than each and every possible one.
But as I've been trying to say,
there is no overlap. There can't be. Not when we call Muslims who believe in angels "monotheists" but Pagans who believe in "gods" with similar attributes to angels "polytheists". What possible set of objective characteristics for "god" could you ever pick that will include Thor and Apollo but exclude Gabriel and Michael?
The definition of the term "god" has implications beyond just the question of whether a person is a theist or an atheist.
The clear picture is a rejection of supernatural entities that possess abilities, powers, or a nature that is incompatible with physics and that some theists believe to describe a deity. There's your picture.
This isn't clear at all, for the reasons I just explained: the definition of "god" necessarily excludes certain supernatural things: believing in ghosts, angels, demons, etc. doesn't turn a monotheist into a polytheist. You're coming up with a special definition of "god" to use for the word "atheist" that isn't used in any other context. This is a big red flag to me that the way you're defining terms is contrived.
It is unreasonable to assert that properties, some subset of which is ascribed to every deity I know of, may somehow suddenly fail and yet the word "god" still be useful (i.e., meaningfully applied). If someone tells you they saw a ghost, do you wonder whether or not they saw Godzilla or perhaps a mouse? Or do you have a pretty good sense of properties that the entity referred to by the word "ghost" is usually said to have and don't immediately wonder how far from your own some conceptions of "ghost" may be?
If a person who you know to believe in God tells you that he saw an angel, would you conclude that he's now a polytheist?
It hinges on a description that doesn't make any sense. You aren't the only one who's used it but I can't recall ever hearing applied to things other than in a debate in which atheism being a belief comes up. A belief can be formulated as a proposition that we hold to be true. There are things we might say we lack any belief in. Most are concepts which have no linguistic representation, but another big category are words that we don't recognize. If I ask you whether you believe you have a plesion, you probably lack any belief regarding the truth of the proposition "I [you] have a plesion" because there is no conceptual content for you in the vital part of the proposition. But as soon as I tell you it means "neighbor" you now have a belief about it. There is some conceptual content that you can relate to the world as you understand it. If I tell you that in an experiment not that long ago 430 atoms were put into a superposition state of being in two places at once, you either believe me or you don't. This "lack a belief" you use as a defiiyion characterizes and epistemic stance about the concept "god" in relation to ontology. That's belief.
You continue to either misrepresent or misunderstand what I'm saying. I don't know how to explain it differently.
If you can't "even conceive" of it you can't have any beliefs about it. That would be a true lack of belief. However, it isn't accurate. For to say that there is something you believe about this "thing" means that there is some property it has you can conceive of.
That's what atheist means. It would be one thing if your suggested definition worked, but it is simply different words to mean the same thing. You are able to use the word "god", which means there is a conceptual representation that corresponds not only to that word but related words you associate with that word. If one is capable of using the word "god" in ways consistent enough with common usage to be understood, it is quite literally impossible to lack any belief about this concept.
I define "god" in terms of a conceptual list of gods: for instance, Thor and Jehovah are gods, Superman and the Archangel Gabriel are not. I don't think there's any set of characteristics (other than membership of that list) shared by all gods that isn't also shared by non-gods.
I did a study that split participants along one axis into a spiritualism-materialism continuum to see how concepts even as seemingly unrelated to spirituality as "professor" and "farmer" have a physical representation in the brain that is influenced by the degree to which the participant (mostly unconsciously) classifies these concepts along this axis. You've been using the word for years in relation to multiple different things from names of deities to beliefs held by the catholic church. It is impossible to do this without having beliefs regarding the concept that for you underlies the word "god".
If you think that "god" is a coherent objective concept, then please explain it. What's a god? Be sure that your definition includes all gods but excludes all things that are not gods (e.g. ghosts and angels).