The biggest difference offensively I see besides they are actually carrying/passing the puck in the neutral zone is, they have 3 lines who can all score or at least provide offensive pressure by attacking the front of the net many times off the rush itself.
They are somewhat difficult to match up against, however they are not the only team in the league capable of doing that. Past couple playoffs we have seen the other teams 4th lines even come through in a pinch to provide some important goals. If not that, their D stepped up.
Rangers have some of that, it's promising but I really don't think that it's on the level of the best teams in the league just yet. Some of these other teams have that legit first line talent, two good secondary lines, and some D who can shoot or at least provide pressure from back there. Rangers are missing the full boat of legit top line talents, and unless McD continues to get better, which he probably will, I don't see much offense coming from the D.