I know he hates them and all, but he can't possibly hate them enough to be blinded to the fact that he's basically wiping out his food supply. That makes no sense to me. And to point out, many sharpteeth, one way or another, get harmed by a leafeater or leafeaters, yet no sharptooth we see in the series wants to commit species genocide. To a sharptooth, it's just a way of life, predator and prey.
If you want to use the idea, fine. I won't stop you. Just saying it doesn't make sense to me.