Ever see this model they did of Jesus' head? They did a detailed forensic analysis of men of the time (arguing that Jesus must have been average-looking, since he had to be pointed out by Judas, and was able to hide among the population). They also used art from the time to get the right style of hair and beard. Jewish men of that era all had short hair and close-cropped beards. And the New Testament does say that men with long hair are an abomination, or something like that. So Jesus probably did not have the long, flowing hair he's often depicted with.

One woman who saw this image was outraged. She said, "He looks like a terrorist!"