At the level of NYR and PHI?
They eliminated us in the playoffs a few times, so I can see disliking them more than average, but that kind of passion, I know no reason for it.
In general, though, there seems to be a mutual respect between the fanbases. I've gone to NJ/NYI games at the Mausoleum, the Rock, and Izod (Barclays in a few weeks) and their fans have always been more-or-less polite to me and my friends. Then again, we have a lot of the same chants, and there are a lot of Islanders
and Devils fans who hate the Rangers more passionately than they love their own team. So there's that.