My vote would be against.
All dogs can bite, and all dogs can do damage. The worst biter I met was a dachshund, the second worst was an English Setter, both breeds you don't normally think of as needing legislation. The best results in stopping biting have been seen in regulating aggressive dogs and holding owners more accountable. The "Calgary Model" is known as having been extremely successful in reducing bites while not increasing costs to tax-payers.
Now, this site (http://ilovemypitt.150m.com/breed_specific_legislation%20in%20canada.htm) is pretty one-sided as to being against BSL, but also gives some of the main concerns that people should be thinking about when considering voting for it.
My main concerns with BSL have always been the enforcability of it. For instance, identification of "pit bulls" or the dogs on the list. I met a Boston Terrier who had the entire neighborhood hiding because they were sure it was a pit bull. It wasn't even an AGGRESSIVE dog, just because it looked what they thought a pit bull looks like... they pulled all their kids inside. I went out and picked the dog up and waited for the pound to pick him up so he'd find his people. Very friendly dog.
You might say that a trained individual would know the difference between a pit bull and some other breed, but unfortunately that isn't the case. I've known malamutes taken under pit bull laws. If there's ever a difference in breeds... that's it.
Since pit bulls also have been proven to be good service dogs, police dogs, and family dogs, judging only on looks and not on behavior puts many wonderful dogs to death every year. Honestly it makes no sense.
I would prefer to see people have to pass a basic behavioral test when they get their vet-shots, and if the dog doesn't pass have them pay a higher cost as well as be on records until they get training to pass. That would make logical sense.