Barron tied it 2-2 at 5:55. Morrissey's initial shot got caught up in the pads of Ilya Lyubushkin, and as the puck fell to the ice, Barron swatted it over Gibson's right pad.
"We had talked after the second period (that) we needed to get a greasy goal," Bowness said. "We weren't getting to the net hard enough. They're not giving us much, so when you're playing a team that's playing that well and that hard, you've got to get greasy goals."
The Jets went 0-for-5 with the man-advantage, including the five-minute power play following the kneeing major on Strome.
"We had all those power plays and nothing was going. A lot of teams would just hang their heads," said Vilardi, whose goal was his first this season. "We just kept battling and battling and we got some greasy goals, and sometimes that's what it takes to win."
NOTES: Winnipeg has won six straight against the Ducks and is 14-2-1 in its past 17 games against Anaheim. ... Winnipeg has not allowed more than three goals in its past 16 games, a franchise record. ... Namestnikov returned after missing the previous three games with a lower-body injury.