I am a birder, a wildlife lover AND a cat lover. One can be all of the above.
My cat has never brought in a bird in his entire 14 years, he does keep the gophers in my yard in check. He brings me everything, and his everything has never included a bird, it has been only small rodents and lizards.
I love gophers too, but hey, it’s the nature of things and I am not concerned my cat will single pawedly wipe out the pocket gophers on my mountain which number about a dozen per every 50 sq. feet of earth.
I can see where a large feral cat population could be an issue, but, a cat taking down a few songbirds or rodents is part of what is in life, nature.
I also don’t exterminate the house sparrows and starlings that have taken over my bluebird boxes from time to time.
They are not native species either, but they are here and a life is a life, be it a Bluebird or a Sparrow.
Dogs do a lot of damage too, killing fawns, waterfowl, and many other things, harrassing and attacking livestock…anyone that hates cats is no friend of mine.