Scheifele snapped a Kyle Connor cross ice feed past a surprised Kappo Kahkonen, who only managed to get a piece of the shot with his blocker to give the Jets the only offence they would need on the night.
A first period melee provided the spark Winnipeg needed.
Jordan Greenway and Brendan Dillon squared off before Minnesota's Marcus Foligno attempted to join the fracas but Adam Lowry grabbed Foligno and the two enjoyed a spirited tilt at center ice.
“I think that's one of their bigger lines, they're quite effective. And Dills, that's what he does, he steps up and he looks for those hits. They might have been a little unhappy and Greenway is going in, being a good teammate, trying to defend Foligno and I see Foligno kind of going into jump in and I'm just trying to do my part and help Dills out," said Lowry.
"I think one-on-one is a better way to go. It's a lot of fun. It's a lot more enjoyable to fight when you have at least half a crowd, rather than the 250, like the Canucks game. So, I think that just set the tone for us and Scheif has a big power-play goal while we’re in the box. I think we just continued to play well from that" he said.
The win was only the third in the last ten outings for Winnipeg, who limped into the All Star break dropping a 3-1 decision to the Philadelphia Flyers.
The Jets were missing two impact players, regulars C Pierre-Luc Dubois and defenceman Neal Pionk who were in the NHL COVID-19 Protocol.
The shutout was Hellebuyck's third of the season and 27th of his career.
“I think we protected the house real well," said Hellebuyck. "We had good back-checking. Our D just played a phenomenal game, keeping everything to the outside, allowing me to see pucks and clearing rebounds. And that's huge, and not only that, it wasn't a whole lot of scrambles, it was tight and guys were playing off each other. And that's what you want to see."
Mark Scheifele and Nate Schmidt scored for the Jets, who moved to 19-17-7.
Kyle Connor and Blake Wheeler each had a pair of assists.
Kappo Kahkonen turned aside 27 shots for Minnesota who saw their six-game winning streak snapped (28-11-3).
The game marked the first time the Wild were shut out this season.
The Jets took the lead just under the nine minute mark of the opening stanza on the power play when Kyle Connor fed Mark Scheifele a cross ice feed which he hammered past Kahkonen to make it 1-0.
The goal was his 11th of the season.
There was no scoring in the second period.
Nate Schmidt and added an empty netter late in the third period to clinch the win for the Jets.
It appeared that Paul Stastny had scored with 45 seconds left in regulation but the play was ruled offside after video review.
Winnipeg visits Dallas on Friday while Minnesota hosts Carolina on Saturday.
SHOTS-MINNESOTA 27 WINNIPEG 29