Connor gave the Jets a 2-0 lead at 7:56 of the second period on a redirection of Morrissey's wrist shot from the point. It was Connor's 11th goal of the season.
Morrissey made it 3-0 at 11:12 on a shot that went off Mattias Janmark's skate and trickled past Khudobin, and Laine scored with 31 seconds left in the period when he was left alone in front to give Winnipeg a 4-1 lead.
"There was some physicality by the Scheifele line," Jets coach Paul Maurice said. "The (Blake) Wheeler line has been incredibly consistent and fast with the puck, good sticks. Ehlers and (Jack) Roslovic now are involved in a bit of a physical point, not running guys but engaged physically in the battles for pucks. I've liked our defense for the most part for a long time; they just compete and battle and block shots, and when we couldn't, Connor was strong when we needed it."
Heiskanen scored the Stars' only goal at 17:59 of the second when he split the defense and put a wrist shot past Hellebuyck to make it 3-1.
Scheifele scored at 13:59 of the third period for the 5-1 final.
"[The Jets] were better in everything tonight," Heiskanen said. "I don't know. It was a bad game. [Khudobin] was great today, but everyone else was bad.
"I think we need a good rest right now and then go to the game and play our game; hard working and physical with a lot of shooting and traffic to the net."
Ehlers scored on a rebound of Neal Pionk's shot from the blue line to give the Jets a 1-0 lead at 7:45 of the first period. It was his 13th goal of the season.