.........that believed in the teachings and divinity of Jesus.who="Dan"
Me: Why would Jews transcribe the teachings of Jesus Christ?
You: "To spread it ..the words of their teacher that's why"
Jews don't believe in Jesus. Jewish scribes wouldn't transcribe the teachings of someone they didn't believe in.
The first several thousand members of Jesus' church WERE JEWS !
Jesus' teachings aren't part of Judaic teaching. Jewish scribes wouldn't have transcribed non-Jewish teaching.