True. Nothing about violence is specifically western.
Also true that the reality is that humans have evolved from more primitive animals that are totally driven by survival instincts and thus will usually act that way too (though mostly disguised in more subtle forms than war).
What you're missing though (or perhaps deliberately ignoring) is the potential of humans to rise above being marionettes of their animal instinct. Acting by instinct has its upsides sometimes. It certainly brings raw animal gratification but rationalising that we're "nothing more than primates that talk" is just an excuse to enjoy the animal gratification while ignoring the consequences (which beyond hurting other sentient beings also blocks one's way to real freedom, which is the real tragedy).