We are down to one cat that Roxie the super dog has chased over the last 3 years. These were roaming and feral cats that the lady down the street raises. All are gone since we were first surrounded by coyotes and very huge wolfy coyotes. Honestly, 3 years ago, all those cats were a pain. They bullied the tiny dogs, and killed the birds. Roxie put an end to dog-bullying. I let her go when there was nobody around. :)
Roxie loved her cats. If they didn't want to run, Roxie would stand off until I got her. She learned to kiss one cat.
As well as cats, all our raccoons have gone. We also have a big Peregrine Falcon family and some of them are huge and stalking in the bushes. No pigeons are left, and much less squirrels.
So you could say, we have a balanced ecology. :)