A sheep never turns into a goat. The sheep is always a sheep and the goat is always a goat. Paul was a sheep even when he was cold blooded killer of Christians. He was just a dysfunctional and confused sheep.
Jesus said
His sheep know His voice yet when the Voice of the Lord Jesus called to Paul by name on the Road to Damascus Paul had no idea Who He was. He had to ask "Lord who are you?" That was when he got the stunning revelation: "I am Jesus whom you are persecuting." Of course he knew who Jesus of Nazareth was but he did not know the divine identity of Jesus, that is, he did not know the REAL Jesus at all. Therefore it would be improper to say Paul was a sheep.
Sheep of the Lord Jesus also
follow Him. In no way could it be said that Paul
followed Jesus. He no more followed Him than the High Priest Caiaphus who had conspired to have Him crucified. In fact, on orders from Rome and Caiaphus Paul went out to persecute Christ's body. He was even complicit in the death of Stephen.
The Bible never uses the term "dysfunctional" to describe people, a term which comes from modern psychology. In scriptural terms a person's
habitual pattern of behavior defines their motives and their identity (
Matthew 7:15-20, Matthew 15:19). ALL people of the world are "confused" in the sense that they do not understand the truth. The same could also be said for Caiaphus and all the other enemies of the cross. Paul too was an enemy because he sought the same ends as they did. The difference came after he encountered Jesus and was radically transformed. Then he became an entirely different species: from goat to sheep. In the Kingdom such miracles of re-birth can and do happen. Saying that we merely need to be made "functional" denies the need for the new birth.