-You are avoiding pointing out which axiom you find faulty. If you'll do so, I'll address it. You might want to realize they came from common definitions. For example, one is that gods are supernatural entities. If you take umbrage with that, I'll be glad to consider your definition of god if you'll provide one.
-You are also likely playing a game. If I prove an axiom, you can say that the axioms used in that proof are unproven, and that I should prove them...ad infinitum. That's why axioms, by definition, must be assumed to be true. Unfortunately your tactic leads to the result that nothing can be proven due to infinite regression, not just the existence of god(s). Is that your position? If so, there's no use in this conversation.
-That's not philosophy, it's mathematics. Mathematical proofs are much stronger than what philosophers or scientists play around with. Once proven, they are inviolable.
-I never claimed to be a physicist. I'm a retired soldier/network engineer (Functional Area 24), one of whom's degrees happens to be in physics.