I don't think laws are the answer. No law can prevent the first bite/attack/etc. And that is often extremely severe. E.g. see attached article excerpt: the second assault happened in Texas, home of the "dangerous dog laws".
That saide, I completely agree with NON SPECIFIC dog legislation. That will reduce repeat offenders. But I also think that too much emphasis is being placed on restrictive laws (e.g. dangerous dogs laws), when we need to force a rethinking of the entire approach towards dog ownership in general.
I think that whenever the light bulb goes on in people's heads, regarding dogs (i.e. that OWNERS are responsible for their dogs, just like they are responsible for their children), then their treatment of dogs changes (unless they are totally psychotic, which some are towards dogs, children, or anything/everything). Until then, you can try to enact all the laws in the world and nothing much changes. Ignorant people just continue to get fined/etc. and get more dogs.

Knight Ridder article:

When his family's pit bull destroyed the face of a 2-year-old Tulsa, Okla., boy last fall, the entire plastic surgery department at the University of Texas Southwestern Medical School in Dallas worked in shifts night and day for 39 hours on the toddler's initial reconstruction.
His cheeks, nose, lower eyelids, facial flesh and muscles had been torn away. Only his eyes and forehead remained when the marathon surgery began.
Two months later, many of the same doctors were involved in reattaching the entire scalp and rebuilding the delicate back of the neck of a 3-year-old Austin, Texas, boy, assaulted by a Rottweiler.