Well, that's a pretty complicated lead-off question. I have about 200 pages of written content that is relevant. I'm working on bridging science with religious teachings from many traditions. Consilience is a major part of that "proof" but it is not proof. It's just a really strong case presented in a really specific way that happens to be at least partially agreeable to every religious tradition and extremely agreeable to scientists with the chops to understand it.
Yeah, atheists like to try to annex agnostic territory because agnostic territory is the neutral position and requires no burden of proof. This is why I cleanly define atheism as an absolute negative claim on the existence of God. Claims must be proven and atheism is a claim. Saying "I don't believe" instead of "I claim that [X is false]" isn't strictly equivocation, but it can be a subtle way to shift the burden of proof, especially if used to avoid defending a negative claim (like "God doesn't exist") by framing it as mere lack of belief (agnosticism/weak atheism). The key difference: "I claim X is false" is a positive assertion needing proof, while "I don't believe X" is a state of mind, but in debate, the latter often functions as a tacit, unproven claim that X isn't true, bordering on an Appeal to Ignorance if you imply its falsehood due to lack of evidence for X. That's why I don't buy your definition of atheism. It's got wiggle room and that's a cop out.
Your final question betrays that you did not comprehend my post. I literally said "The Philosopher's Burden of Proof bears upon the believers side as well."
It seems you missed the point so I'll summarize it briefly for you:
Atheism is an untenable position to hold because it is dynamically contradictory.
That's the claim I'm making so feel free to engage with that claim and the argument that was provided to back it up rather than moving the goalposts which is another common atheist tactic.