I don't think they should be rounded up & culled as some suggest, but all of them should be registered & to qualify for registration they need to be neutered, microchipped, have liability insurance & be kept muzzled & onlead in public.
If there is an incident, be it with another dog, person, or any other species & the owner is unable to produce evidence of registration then the dog gets removed & put to sleep, with no reprieve.
If they truly love their dogs they'll comply, if they don't comply then they obviously don't care & shouldn't own a dog anyway, & putting them to sleep may even be a kindness.
They are a horribly inbred, volatile, dangerous failed 'experiment' of a dog with no discernible purpose in the 21st century & should be allowed to go extinct.