Earlier quoted context omitted.
If we cared about birds we'd be aggressively controlling the cat population.
Cats are a scapegoat to deflect the incalculable damage done to wildlife by humans themselves, their industries and habitat expansion.
The only case where your point would matter is if we could only fix one or the other - human- or cat-induced damage - but that is not the case. They can be addressed independently and in parallel.
I like cats though...