The Hurricanes still lead the best-of-7 series 3-2. Game 6 will be in New York on Friday.
"I think you've seen this from this group a lot this year. It's a resilient group," Islanders captain Anders Lee said. "You know, our road just to get in wasn't that easy, we had to pull ourselves out of a hole after some tough stretches, but we believe in one another, we believe in this group and what we can do and how we can play. And that was no different coming into this evening."
Pierre Engvall and Brock Nelson each had a goal and an assist, and Ilya Sorokin made 34 saves for the Islanders, who are the first wild card from the East.
"They come out hard in this building," New York coach Lane Lambert said. "We knew they were going to come out hard. We knew [Sorokin would] have to make a few saves, and he did.
"There was no, for lack of a better term, panic in our game. We just made sure that we stuck to our plan. We knew we'd need a couple of saves going home, but certainly we did that. We just played pretty steady and pretty solid and we battled."