I don't believe in the existence of morals, which is to say there is no "right" or "wrong" in the universe. However, I'll still do actions that most people would rate "moral". The reasons I do this are found in my brain architecture, and are not simple. Also, I don't care about utilitarianism. One can probably find some extremely complex utility function that describes my actions, which makes everybody on earth a utilitarianist, but I don't consciously make utility calculations. On the other hand, if morality is defined as "the way people make decisions", then of course everybody is moral and morality exists.