Ruuttu had two assists in the first period before helping to set up Mike Foligno's tie-breaking goal at 16:21 of the second period.
Tonight's tie-breaking goal was scored by Igor Korolev at 6:50 of the third period.
Lundmark, a 22-year-old forward, scored the tie-breaking goal at 18 minutes 5 seconds of the second period for his second goal in two games.
The first led to Darren McCarty's tie-breaking goal off a rebound with 2 minutes 8 seconds left.
During the second intermission, the Colorado players challenged one another to go out and score the tie-breaking goal.
But another turnover by the Devils, this time at their blue line, led to Alfredsson's tie-breaking goal at 4:20 of the third period.
After what would have been a tie-breaking goal was disallowed late in the first period, the Rangers folded.
Despite playing with a shoulder injury, he scored the tie-breaking goal on a short-handed breakaway before a festive holiday crowd of 14,066.
Richer, who scored the tie-breaking goal, said one of his teammates had predicted the goal moments before.
They held on in general after Guy Lafleur's tie-breaking goal 8 minutes 58 seconds into the final period.