Interesting, I'm sure feral cats can wreak havoc on native populations and while I don't honestly know if I could shoot one personally, I don't begrudge those who do so when they become an invasive species.
I guess I grew up with a different angle on the matter, I spent a few years growing up in wheat country and it seemed they loved feral cats. Of course mice and songbirds can wreak havoc on grain-crops, so maybe that had something to do with it