Kreider converted a partial break of his own at 8:48, turning the corner off a rush and cutting across the goal mouth from left to right, sliding the puck between Lehner's legs in the process.
Artemi Panarin made it a 5-2 game less than a minute later with a shot from the slot off a deflection that he quickly put on net and past Lehner at 9:41.
The catalyst to Kubalik's second, Caggiula got on the board himself at 11:39 with a one-timer at the top of the crease off a Jonathan Toews feed from behind the goal, cutting New York's lead to 5-3.