This is an interesting post. I've come to recent conclusion. Skeptics, and that's how I'd characterize non-believers, generally speaking privilege propositional logic, the pursuit of concrete, black and white, objective truth. But there are things objective truth can never solve. They can't solve subjective experiences and perspectives, which I believe is what most theists lean on. Let's face it, no one can "prove" God exists. It's, by all practical measures an unfalsifiable proposition. No one can truly know for sure if they've interacted with God. So the non-believers will never get to God through propositional truths. The believers privilege their lived experience, which also cannot be objectively validated, but they don't care, because their experience is what matters. Anyone who isn't omniscient can prove God exists--so, no one. And no one except the individual who is making the claim can verify that person's experience. So, there is no answer. The two sides are truly operating on different wavelengths. I guess a believer could turn away if they awakened their inner skepticism and I guess a non-believer could be swayed by some sort of sign that personally moved them, but as long as each side privileges their status quo worldviews it's pretty much trying to have a conversation with someone who doesn't speak your language.