"(It was) really important. Goals at the end of periods put you in a good mood," said head coach Paul Maurice. "If it's not in, it's 2-1 (when they score in the second) then it's a different animal that you're playing against."
The Stars would get one back in the second, when their league best power play got its first opportunity. A point shot from Klingberg wen off the back boards, and when it came back in front, Jamie Benn was there to knock the puck between Connor Hellebuyck's legs.
The Jets would challenge for goaltender interference, but the call on the ice would stand.
But that goal was the only one the Stars would get. Hellebuyck made 14 of his 33 saves in the second period, keeping the Jets lead at two.
"I think the guys in front of me really got in the way and blocked a lot of the key shots," said Hellebuyck. "If they weren't blocking it, they were controlling and keeping it to the outside, so I was able to see pucks.
"It might have looked like a lot of shots, but the guys were doing the right things out there."
Scheifele would add his second of the game, and ninth of the season, into the empty net with 12.3 seconds to go, improving the team's record in their last 12 games to 8-1-3.
Overall, Scheifele and Wheeler combined for seven points in a big win to start a three-game road trip.
"They were on at the start of the third to finish off the (penalty) kill too. The defensive parts of the game, their shift length was good, and their decisions," said Maurice.
"Just a real nice job of leading by example in terms of how we want to play, and they seem to be getting better and stronger."