Since this thread was made, the islanders have gone from 2nd in the metro to basically on the outside looking in.
If you want the greatest example of coaching actively hurting a team, watch a single islanders game. Lane Lambert is probably the worst coach in the NHL. If you want to see some of the slowest players getting priority with less than a minute left, this is the team. So many games lost in the final minute, dropped points a plenty, and a massive disparity between the top 6 and bottom 6 in points. Leafs fans can be right on some things, and Pierre Engvall has been such a mediocre player in year 1 compared to his deadline sample size. Lou Lamoriello's time is up. This is the end of the road for them.
Rangers are slumping but i think its the same issue as the islanders (except take away bad coaching and replace it with a bottom 6 that's largely ineffective save for Cuylle and Vesey). They did win but the loss against Washington exposed a really bad flaw in their system. Panarin, Trochek, Miller, Trouba, and Zibanajed carry that load so much. Something that does concern me with the Rangers is that Shesterkin (up until the Sunday game against the Caps) has been absolutely mediocre. then again, its a general comment that we've seen some absolutely mediocre goaltending over the season.
If I had more confidence in each team, i still pick the Rangers. The most biased isles fan in me just doesn't see this team going anywhere, even if they backdoor into the playoffs by means of magical BS.