The only thing that Woodbridge has in common with Brooklyn or Staten Island is the Italian influence. Brooklyners would say "noo yawk", "aba-ot" and "kee-anada" as other East Coasters would. Woodbridgers would say "noo yorrk", "abe-ot" and "Canada" (often with less hint of "ee" than most Anglo-Ontarians.) My wife (Portuguese-Canadian) says "Canada", "can't" and "bad" almost as if she has a cold.
I don't really get how Torontians sound particularly America. We don't sound at all like US east coasters, southerners, or even miswesterners. All you have to do is cross the border into Buffalo or Detroit and, bam, the difference is unmistakeable. Some say that we talk like Californians who have the most "neutral" American accents. I'm not sure that Californians would agree, though, since Canadians actors all seem to need accent coaches when they arrive in LA. I think we're just so used to the way that we talk that we THINK we sound neutral and normal.
Like I've said before, because our differences aren't pointed out much on TV and in the movies, we're not as aware of our uniqueness as someone from any big American city is.