I think we all believe in some kind of superior beings (might be it spiritual or aliens) so the question of God existing is basically answered as it's present in our minds and souls. You can't deny something that doesn't exist so if you trying to prove it doesn't exist, you might as well prove that it does exist. It's like Quantum Mechanics and the String Theories. The burden of proof doesn't have to be because you can't measure it, and because you can't measure it means you can't actually disprove it doesn't exist. Only surrounding theories and measures will make the case.
Now this is a complete different issue when it comes to Religion. Is Religion really the worshipping of a God or simply the worshipping of men who worship a God ? Can Religion make us closer to God ? or on the contrary does it make us go apart from him by the very act of worshipping ?
Maybe a few worshippers here could enlight us