Johansson put Minnesota back ahead 2-1 at 1:37 of the second period, scoring on the rebound of Ryan Hartman's shot in the slot.
DeBrincat tied it 2-2 at 2:43 of the third period with a one-timer on the power play.
Hartman gave the Wild a 3-2 lead at 4:35 with a snap shot five-hole on Reimer, and Marcus Foligno extended it to 4-2 after tipping in Jake Middleton's shot 52 seconds later.
“You’d like to have a little more of a lead going into the third,” Foligno said. “But they scored a good power-play goal and then ‘Hartzy,’ who played great tonight, really provided that little punch that we needed to get going again. He seemed to be everywhere tonight, and it was a good game by him and Johansson.
“That line helped us get our rhythm back, and then you get up to 5-2. Yeah, it’s the blink of an eye. A lot of good plays to get us there.”
Johansson pushed it to 5-2 at 6:42, but Daniel Sprong cut it to 5-3 at 8:00 with a wrist shot top shelf.
“We gave ourselves a chance making it 2-2 on the power play, and then obviously them getting three quick ones kind of puts us out of the game,” Kane said.
Kaprizov tipped in a shot from Dakota Mermis at 14:15 for the 6-3 final.
“Sometimes you go through these stretches, and you can’t pinpoint this or there’s things you can’t control, and this is easily controllable,” Red Wings coach Derek Lalonde said. “I think the guys see it, now it’s a matter having some discipline to execute it. … We got to manage our games much better.”
NOTES: Red Wings defenseman Simon Edvinsson, the No. 6 pick in the 2021 NHL Draft, recorded his first NHL assist. …Hartman had a goal and was plus-3 in 13:03 of ice time in his return after missing the previous two games with an upper-body injury.