As for God's existence, it can be proven. Much of the immaterial things we know can only be accounted for in the Christian World View. Only in a universe created by the Christian God (also the God of Judaism, though many Jews reject his gospel, and thus unfortunately worship in vein)
As a Christian, I lol'd so hard. You have got to be joking me. You CANNOT logically prove the existence of God, and the evidence at best is inconclusive (the evidence including the miracles on peoples' lives, the bible (a book that is KNOWN for its inaccuracies in parts due to the amount of translations and mistranslations that have gone into this book). The bible is a history book yes; however, to take everything by exactly its word is stupid and leads to all this extremist stuff that many Conservative Christians are quite famous for. The only way we know God is through faith; I believe you quoted the correct Hebrew verse, so you should be familiar with this concept. There is no logical or materialistic way of proving God.
You believe that science is compatible with Christianity. Then goddamn it, start putting in those beliefs, instead of spouting out archaic bullshit and nonsense that Christians with some bit of sense would be shaking their heads at.