But try telling that to the people who like feeding them. It'll just make them hide their feeding and the problem will persist.

I spent a lot of time a few years ago helping people trap and neuter their feral colonies, keeping the population under control with the support of the caretakers rather than fighting them.

Unfortunately, this won't solve the problem of feral cats, it only mitigates it. Culling doesn't really seem to work either though. Chemical sterilization is a promising approach, but hard to enact on large scale without sterilizing other species by accident.

Birds have to go. More cats will always be the answer.