Domestic cats as a species had been introduced to America by humans, and still are explicitly kept and feed by humans. I'd call that breeding. This also sets an easy and natural metric of how many cats should be there: 0.
Birds can fly, not really fair to the feline species concerning which places it's allowed, eh?
Zero cats should be allowed to exist in NA?
No open borders for cats!?
Zero non neutered cat should be allowed to exist in North America, correct.
Same applies to humans of non-native descent, I presume?