We also frequent amazing Little Italy restaurants in NYC, along with some great places in Providence, RI. We found Tutto to be comparable to those places.
As for Kouzzina, it's receiving less than stellar reviews, at least so far. I think they have some kinks to work out before it is a true "foodie" experience. We're holding off on trying it for now. Perhaps we'll head there in the future, but right now it doesn't seem quite there yet.