Well to be honest, apart from the more recent handheld games, the protagonists have looked alike. Most of the male protagonists carried the same name too. Jack. So it's not really something to be suprised about.
But in this game that is just their default appearance.
You can change the color of their skin, hair, eyes. As well as their hair style, outfit, and possibly other things.
@dino Well you can change their outfits so that souldn't be to big of an issue. The only question is how quickly can you begin to change their outfits. I would imagine you can select your character's general appearance from the start. Would you also be able to choose your starting outfit, or have a secondary set in your home? But if the hat is seperate from the outfit, I would imagine you could remove it very early in the game.