Lehner stopped Jay Beagle on a shorthanded breakaway at 6:25, and Pulock made it 2-0 at 14:05 on a one-timer from the top of the left circle after the Islanders controlled play for an extended period in the Canucks zone on a delayed penalty.
"Everybody in this room had a little chip on their shoulder," said Cizikas, who has five goals in his past six games. "We came out with four lines firing and did a good job hounding the puck and getting all over them and not really giving them too many chances. So if we continue doing that we are going to have more success."
Vancouver outshot New York 15-3 in the second period, hit the post twice, and Islanders defenseman Scott Mayfield cleared the puck off the goal line after a shot bounced off the back of Lehner.
"Robin bailed us out and gave us a chance," Cizikas said. "He made some unbelievable saves, some big saves, and he's the one that kept the lead for us and this game is all to him."
Lehner made his best save on a pair of rebound chances in the second period, squaring up quickly to stop a Nikolay Goldobin shot off the mask to his right before sliding across and stacking the pads to stop Josh Leivo to his left.
"I'm not like other goalies," Lehner said with a smile about stacking the pads. "In the second they got a couple power plays and had a lot of pressure, so I got a little workout but it was good."