Jesus was the Great I AM. He was the God of the Old Testament.People were drawn to God before Jesus was born so clearly a different analysis of these verses is required.
John 8:58
58 Jesus said unto them, Verily, verily, I say unto you, Before Abraham was, I am.Exodus 3:14
14 And God said unto Moses, I AM THAT I AM: and he said, Thus shalt thou say unto the children of Israel, I AM hath sent me unto you.