In almost every depiction of Jesus, he is seen as some sort of Fabio model with flowing long hair. But James Caviezel probably should have kept his short haircut if he wanted to better portray Jesus. Not only was a short cut more in style at that time, but Paul writes against long hair (long hair was spurned by Judaism):
1Co 11:14 Does not even nature itself teach you that if a man has long hair, it is a dishonor to him?
I would say that the popular “recreated Jesus” is much more likely than the Hollywood pictures.
reality is not optional 
In the military, the short-haired Jesus would have long hair. The long-haired Jesus is a short-haired woman, especially the further back in history you go. Are you saying nobody is allowed to have hair that length? Too bad Paul didn’t specify a medium fade or this wouldn’t even be an issue. Perhaps this is all contextual and circumstantial?