Polymath257,
Being a polymath, you know much about many things. It seems though that one field of knowledge, the most important one, you have, at best, a nodding acquaintance. That knowledge is what you get from Bible study. The Bible itself proves, beyond doubt that God exists, so read it and pray for understanding, and you will understand God's purpose for you and the earth, Proverbs 2:1-10, Romans 12:1:2, 1Thessalonians 5:21, Hebrews 5:11-14.
The Bible is a book of legends and propaganda mixed with a bit of history. No, the Bible doesn't prove the existence of God since the Bible was written by men and for the purposes of men.