dont mean to interrupt but what are you talking about that they cant hurt each other because they both have the same abilities. maybe its just me but i killed myself with the bombs. everyone forgets that the explosions still hurts. so if you look at it that way infamous cole would win cause he has more bombs.
not to mention that they cant fight each other cause they're the same person!
spoiler: Cole fights Cole at the end game. Yes Cole can hurt Cole.
since you can kill yourself in the game, you would be able to kill the other person. you can only kill yourself via explosion from grenades or the megawatt hammer, or you shockwave them into the ocean