As I Calvinist, I cannot believe you used John 6:44 which states no man can come to Christ unless God draws the man in. That is exactly that Calvinism is talking about. We say the person is a spiritual corpse and complete anti-God until God starts changing the person`s heart. Then the person can be drawn to Christ.
I invite you to read the Institutes of the Christian Religion before you even begin to touch Calvinsim. I have read it many times, in both English and in French, and can find nearly no errors in it. His analysis of the Bible is nearly perfect.