Jonathan Toews had two goals and an assist, Brandon Saad and Duncan Keith each had two assists, and Crawford made 38 saves for Chicago (10-18-6), which has lost nine of its past 10 games (1-8-1).
Scheifele gave the Jets a 1-0 lead at 14:18 of the first period with a power-play goal, scoring on a one-timer from the left circle off a pass from Wheeler.
"We need him to be that kind of player for us and he has been," Jets forward Bryan Little said. "He's delivered. It seems like he's always scoring those big goals when we need them. He's a leader in the dressing room, a leader on the ice. Can't say enough good things about him."
Toews tied it 1-1 with 11 seconds remaining in the first on a wrist shot from the slot that bounced off Brossoit's shoulder and went in.
Toews gave the Blackhawks a 2-1 lead at 13:07 of the second period on a one-timer from the right circle off a pass from Saad on a 2-on-1.
"It was a nice pass by [Saad] and it was nice to see it go in," Toews said. "At that point we were in the driver's seat in the game. At the end of the day, I think our line played well and created a lot of chances. If it's me scoring or [Dominik Kahun or Saad], it doesn't really matter."
