Based on the internal witness of the Bible, Jesus is not God and man. That isn't how anyone ever described Jesus or the way they wrote about how they either remembered him or identified him.
Think of it like this. Jesus and his disciples held God in very high esteem. When they spoke to Him, they were very polite and gave due deference to God. See Matthew 6:9, where Jesus explicitly taught his disciples to pray only to the Father, saying "Our Father in heaven, hallowed be Your name..." or Mary's song in Luke 1:46-49 where she said God is her savior, the Mighty One, and holy is His name. Or the apostle's prayer in Acts 4:24 where they said to God "Sovereign Lord..." and later in the same prayer called David and Jesus just God's servants.
So when people spoke to God they were clear to call Him God and give Him due respect, just like Jesus did.
However, when people wrote about Jesus they just kept right on calling him a man and not God or a God-Man. In Acts 1:11, angels identified Jesus as "This same Jesus" meaning that Jesus' continued identity would be as a man even after he was taken to heaven and returns. Paul taught the Greeks that Jesus is a man who God apointed (Acts 17:31) and later said that Jesus is a man who mediates between God and men (1 Timothy 2:5) and so on. You get the picture.
Your "god man" hypothesis is a post-biblical theological belief. It's heresy.