There is no evidence of God exhisting. Even among your examples. The whole point of having faith in something is to beilieve in it without proof or evidence. Because it would then cease to be faith and become knowledge. The whole point behind a religion (Christianity, Judaism, Islam for arguments sake) is to be faithful in it, not knowledgable. Giving yourself unto God without proof is what is asked. Believing in a God is different then knowing.
Same with disproving, or providing evidence there isn't a God. Mostly because you can't disprove something that does not exhist int he first place. I can't disprove Bigfoot or Zeus, but that doesn't mean that they exhist. But let's just say that someone did provide evidene that disproved Gods exhistance, that would completely unravel his/her said plan and go right back to the faith argument I made, and if that was the case, then he/she is not infallable. If a mere human could disprove God's intent and undermine him/her successfully.... then that entity isn't God anyways, and we have nothing to worry about.
Same with disproving, or providing evidence there isn't a God. Mostly because you can't disprove something that does not exhist int he first place. I can't disprove Bigfoot or Zeus, but that doesn't mean that they exhist. But let's just say that someone did provide evidene that disproved Gods exhistance, that would completely unravel his/her said plan and go right back to the faith argument I made, and if that was the case, then he/she is not infallable. If a mere human could disprove God's intent and undermine him/her successfully.... then that entity isn't God anyways, and we have nothing to worry about.