Apparently you seem to be lacking basic reading comprehension skills. As I've stated before, I've not offered up a thesis of my own. Or rather, you could say my essential stance is: "If you want others to believe your claim, prove it." I don't have to offer up a position of my own to say that you're wrong, you could just be wrong. That is, if you argued that everything in the world is blue, I would not need to argue that everything in the world is red to refute against your claim. To make this as abundantly clear for you as possible, my position is this:
IT'S NOT OUR JOB TO DISPROVE YOUR THESIS. IT'S YOUR JOB TO PROVE IT. IF YOU WANT TO ASSERT YOUR VIEW AS THE CORRECT ONE, PROVIDE REASONS AS TO WHY THAT YOUR VIEW IS CORRECT.
Even if you've "provided" evidence concerning your thesis, since you haven't addressed fundamental problems concerning your advocacy at all. Pretty much all my of substantial contentions have still gone unanswered.
1. Why should we accept your definitions over other definitions of the word "religion", "religious", "belief", etc.?
2. Why are the standards and criteria that you use to determine the correctness or goodness of definitions "good" or "better" than alternative standards and criteria?
These two are a priori issues. They are asking, why we should accept your basic premises as true. Just because you can provide "evidence" (which you really don't, all you really do is a verbal circlejerk) based on YOUR premises, if you provide no reason for us to accept your premises then your conclusion is rejected anyway, despite any evidence you can provide. Beyond this there is a major flaws in your argument itself:
3. You haven't shown that system of beliefs and religion are equivalent. You can say that all religions are systems of beliefs, based on your premises. However you cannot say that all systems of beliefs are religions. Again back to dogs and 4-legged animals. All dogs are 4-legged animals. Just because you can say this, it does not imply that all 4-legged animals are dogs. Which is what you're doing with religion and system of beliefs. Plus, you haven't even addressed my counterexamples: math, or my system of "beliefs" for sorting.
4. Even if we were to assume that that equivalence is true and concede that everyone has a group or set of beliefs. You haven't shown how a set or group is the same as a system.
Back to my example to try and illustrate my point. You say that this is a bad or wrong definition because it is not "true." Hence we should not accept this definition of "religion". By what standards and criteria can you say that this is wrong?
Regardless, these Christians would then argue, that they are in fact, correct because "God told them so" (not necessarily from the Bible, but say from prayer or something). That is their interpreted "word of God" is the correct standard and criteria that we ought to use.
This right here is a very good example of my point. You argue that these people are not "Christians," yet these people themselves adamantly call themselves as such. Why is your definition of "Christian" better than their definition of "Christian".
On a side note, they would argue that other religions are "false religions" and therefore not really religions.