Alex Iafallo and Kyle Connor each had a goal and an assist, Stanley and Cole Perfetti each had two assists, and Connor Hellebuyck made 35 saves for Winnipeg (23-26-9), which was coming off a 3-2 overtime win at the Vancouver Canucks on Wednesday.
"Obviously, we had the two-goal lead twice and gave that up," Jets coach Scott Arniel said. "We had some leads that we should have found a way to bring home."
Elias Salomonsson scored his first NHL goal to push the Jets' lead to 3-1 at 1:27 of the third period. After Mason McTavish lost possession of the puck in the defensive zone, the 21-year-old defenseman took a pass from Adam Lowry and scored blocker side with a snap shot from just above the right circle.
"Stepped right into it and, yeah, happy to see that one go in," said Salomonsson, who was playing in his 15th NHL game. "So, it's pretty special."
Leo Carlsson cut it to 3-2 while on a power play at 6:32. He knocked in a rebound at the edge of the crease after Jackson LaCombe batted the puck out of midair over a sprawled Hellebuyck near the right post.
Mintyukov tied it 3-3 at 9:59, burying a rebound into an open net from the bottom of the left circle.
Ryan Poehling then put the Ducks ahead 4-3 at 16:50. Shortly after a Jets power play expired, Poehling skated in on a rush, made a move around Dylan Samberg, and lifted a rolling puck over Hellebuyck's glove.
Connor responded for Winnipeg with Hellebuyck pulled for the extra skater to tie it 4-4 at 18:38. He scored with a one-timer from the right circle off a spinning pass from Perfetti.
"The 6-on-5 goal was big at the end," Arniel said. "Got a point out of it."