Yes, and then everyone who wants a pitbull will run out and get a Cane Corso, Dogo Argentina, or Presa Carnario. Or - God forbid - Kangals. Then all the "ban pitbulls!" people can get to know some TRULY dangerous breeds.
The problem is the owners, not the breed. Ban the breed and the garbage owners will pick a different one just as problematic, if not more so. Figure out how to limit ownership of ALL power breeds to people who can prove they have the temperament and resources to responsibly own them and you can actually tackle the problem.
Pit bull ownership would drop to zero overnight if they made that the law. Everyone knows that pit bulls are dangerous, some just like the feeling of superiority it gives them to pretend like there's no difference between their pit bull and a beagle.