House cats have parasites that when transmitted to rats, make the rats not afraid of cats. This allows the cat to easily catch and eat the rat.
Cats also infect humans with that  same parasite, this makes the person infected love cats and they cannot understand that there can be anything wrong with having feral cats east, west, north or south, knee deep city or where ever.
To try and explain to a parasite infected human why feral cats should be destroyed is as futile as trying to get the same argument across to a feral cat.
Don't believe the parasite cats spread? Google to get the facts.