One nitpick, Jesus was almost certainly a real figure. There are many records indicating someone with that name was in the area at the time, and that they were executed by crucifixion.
The religious stuff, obviously no way to prove. But as a person, the historical consensus is they existed.
There are multiple pieces of Christian scripture which call out the duty of the faithful to be good shepherds of God's creation.
They often aren't emphasized in most modern sects, but they are certainly part of the theology.