Why is this illogical? If God does exist, and he wants us to know he exist, is it too much to ask for empirical evidence of his existence?
Why are you assuming that God wants us to know it exists? Aren't you just assuming this because it's an easy proposition for you to argue against? That's called creating a 'straw man' argument so that you can then easily knock it apart. And if you say it's because this is what the theists claim, then 1., not all theists claim this, and 2., even if the theist doesn't understand that his personal chosen conception of God does not define God, YOU should be able to understand this. If not, then you're in no position to be judging or arguing with him.
Most theists understand that "God" is a profound mystery that we humans will never be able to unravel. For most theists, the term "God" refers to the great mystery source, sustenance, and purpose of all that is. In fact, in most religions, the words used to refer 'God' originally meant 'that which cannot be grasped or controlled by humans'. So when you meet a theist that is spouting off platitudes about how God is this, and God wants that, understand that they are novices in their own religions. Not to be taken as the spokesmen for that religion, and certainly not for all theists.
Not quite sure what you’re saying here, but if you’re suggesting that if I cannot prove God does not exist, I should believe he does? You can’t be suggesting that are you?
No one sane really cares what you believe or don't believe. That's your own business. What we care about is what you assert to be so, and not so, and WHY. (Also how you behave as a result, but that's a separate issue.) Because by our exchanging and debating these assertions and their reasoning, we can hopefully get a better idea of what IS so, and not so.
So my question to you is how do you justify making the assumption that if God exists, you would be able to know it? Because, logically, I see no reason to make that assumption. If God is the great mystery source, sustenance, and purpose of all that is, how could we, being a tiny part of all that is, recognize and verify the source, sustenance, and purpose of everything we know or, and everything we don't? What could possibly stand as evidence to us that such an "entity" exists (I don't even know what to call such 'omni-being')? If 'God' appeared in front of you right now, in all it's "glory" (whatever that would look like), how could you possibly verify that it was 'God', and not some highly advanced alien being appearing to you in a form it thought you could grasp. Or a very clever magician's trick. Or an illusion being generated within your own mind? What you would "believe" about these various possibilities is irrelevant. And whatever the truth is, it would by unverifiable by you, or by any of us.
So I am not proclaiming that we believe or don't believe anything. I am claiming that when we cannot validate one possibility over another, what we are left with is choice, rather than knowledge. And the only way to move forward, then, is by choosing the possibility that we would HOPE to be so, and then acting as if that hope will manifest, to see how that works out.
"God" is not a proposition that will ever be resolved by obtaining proof. It can only be resolved by an act of faith. By choosing the possibility that we most hope to be so, and then living as if it will be. And then allowing the value of the results our actions to stand as our guide. Ultimately, life for we humans is not about obtaining knowledge of the truth, it's about doing the best we can for ourselves and each other, without it.
They do state this is what they believe; how many atheists have you heard they reject your God due to lack of evidence? This is said all the time!
What "they" believe is irrelevant to anyone but them. Just as what you believe is irrelevant to anyone but you. Arguing with someone else's belief is as much a fools errand as adopting someone else's belief is.