Pitbulls ARE a domestic breed of dog - no different than any other. Yes, they are strong, and have strong jaws, so if they bite, it will likely cause more damage than a smaller dog. But they are dogs no different than any other. If they are trained to bite, they will. If not, they are just a dog.
Heck, bulldogs have jaws that lock when they bite, and are stronger than most breeds - but no one talks about them because of how they look.
Out of the top ten list of biting dogs, you will find Dachshunds, Chihuahuas, and Cocker Spaniels. Do you want to ban them as well? Of course not - they are cute. Chihuahuas bite, but because they can be slapped around by a cat, the bites are not reported.