Neither was wrong, Jesus was sent by God and spoke for God, as Christians believe he was the son of God. God communicated through him the same as he spoke through Mohammed.

Jesus didn't request for a correction, he came to spread God's word to more people than just the Israelites (Jews). And to correct things that the Israelites had been doing wrong (as Christians believe that God's original messages to Moses were corrupted and misinterpreted over time, again, the same way the Muslims believe that the Bible has been corrupted, the Christians believe the Old Testament was corrupted).