One ugly truth about humans is that we got where we are by violence. What I mean is, as soon as humans rose to the top of the food chain, we were no longer threatened by lions and tigers and bears, so there was no great breeding advantage to being more intelligent. So why then do we see this huge gap in intelligence between humans and our nearest competitors in the great food chain? Well, something made intelligence a valuable survival trait. And that something was fighting with ourselves.
One theory has it that in northern climates, where there is regular freezing, our ancestors had regular periods of famine forced on them by crop failures. In times like these, it came down to a choice of steal or starve. Thus, anyone descended from cold lands is guaranteed to be the product of ancestors who were either good at stealing or defending. (Since the mediocre would starve, either from failing to steal enough or from having all their food stolen, and probebly getting killed in the process).
So the answer to 'why do we kill each other' is: it's our nature. It's a trait that our ancestors passed on, because those who didn't kill, didn't live to pass on their peaceful traits.