You know your logic is so vague its stupid. You're saying all humans should live instead of animals because they're less intelligent. What do you say about the mentally challenged, or the vegetables and the other mentally or physically unable people? Should we kill them off because they're not smart? There's dogs smarter than some of them, should we kill them off and then the handicapped because they're not able?
Humans don't get to live because they're the smartest, they get to live because they're the strongest. No other species has the power to destroy the entire Earth, to purposefully rewrite genetic code, or to ascend our very biology and explore outer space and augment the human body.
We make sure other humans live because, like all social animals, it's better for everyone if everyone survives, everyone is healthy, and every contributes a healthy amount to the species as a collective without barring the needs of any individual.