NO, ABSOLUTELY NOT!
Banning pit bulls is simply ANIMAL RACISM, discrimination against a particular type of dog.
Because 'pit bulls' are not a single breed, but a variety of breeds based on a 'look' determined by whoever wants to harass any dog with the 'look' of a pit bull. One officer in NLR ordered a friend of mine out of a NLR park. She was walking what he decided was a pit bull. Truth was, this dog was a purebred, registered, papered BOXER, called a pit bull by an officer who is an idiot about dogs. And I've had a dog in that same park that was half staffordshire, but doesn't have the 'look' so nothing was said to me. So, WHO determines which dogs are pit bulls and HOW? DNA doesn't work. There are many dogs classified as pit bulls that are not aggressive. Many big babies; I have one staffordshire mama who allows kittens to nurse her -- such an aggressive pit bull?!?!?.
Pit bulls are killers is a STEREOTYPE. Some dogs are abused by bad people, but the dog should not be blamed for the actions of bad people. Ban the bad people and give the pit bull to those with knowledge and skill to turn the dog around -- give a dog a chance to be a good dog. Better yet, put a little NO PET notice on a drivers license if someone is convicted of abusing animals so they cannot buy or have any animal. Then both officers and animal sellers will know if someone should not have an animal by the drivers license. Problem solved without killing innocent dogs.
Having done rescue and rehab work with dogs for 14 years, I've placed many dogs and have yet to find any dog that cannot be turned around, given sufficient time and patience. Recently, I took in a papered staffordshire terrier (one of the pit bull breeds) who was called a 'cat killer' by her previous owner. Now, I have several cats, so I was understandably cautious. Tho this dog is not yet 'safe' with cats, after just a few months with me, she now watches them with no effort to go after them. I do not yet trust her not to hurt them at all, but, in time, she'll come around like others before her.
Indeed there are problem dogs, so have a DANGEROUS DOG ordinance, that specifically spells out what behavior determines any dog to be dangerous and the process to remove a dangerous dog if that becomes the only way to resolve a specific problem situation. If the human owners are willing, there should be classes available to modify dangerous dog behavior, to re-classify the dog as a GOOD CITIZEN upon completion of training.
Solve the real problem, don't just destroy the lives of good dogs.