Of course we do.
We humans have the capacity for peace, for an end to war, for a culture that mitigates bullying and violence, as is proven by the examples of some 80 peaceful societies in which violence is almost nonexistent. Humans indeed have an enormous range of "natural" selves because we are so flexible, adaptable, and smart. Evolution, as Ornstein and Ehrlich (1989) reminded us, is conscious much more than biological in our human timeframes. We can learn and teach these naturally peaceful ways at our most grassroots levels.
This gives hope. It is not magic; it is work. It is not up to God nor does it take geological time periods to accomplish; it is up to us. Now.
Fry, D. P. (2005). The human potential for peace: An anthropological challenge to assumptions about war and violence. New York, NY: Oxford University Press.
Ornstein, Robert, & Ehrlich, Paul (1989). New world new mind: Moving toward conscious evolution. New York: Doubleday.