Barzal extended the lead to 5-1 at 9:11, knocking in a loose puck for his second goal in as many games after a six-game drought.
Hellebuyck was replaced by Brossoit after Barzal’s goal.
“That’s the first time we’ve had to pull our goaltender all year; [we] left both those goaltenders out to dry,” Winnipeg associate coach Scott Arniel said. “That was the most goals we’ve given up, so that was just not enough desperation in those first two periods in how we needed to play.”
Anders Lee made it 6-1 at 15:32. After Barzal won an offensive-zone face-off, Lee collected the puck in the right circle, spun and stuffed it past Brossoit.
Appleton cut it to 6-2 at 7:37 of the third period on a rebound of Nikolaj Ehlers’ shot, and Perfetti got a long wrist shot past a screened Varlamov at 17:50 for the 6-3 final.
NOTES: The Islanders are 8-1-0 in their past nine games against the Jets. … Clutterbuck does not have a hat trick in 1,051 NHL games. … Palmieri has scored in five straight at home. … It was Perfetti’s first goal in 24 games; he returned after being scratched for four games. … Winnipeg defensemen Brenden Dillon and Neal Pionk, and forward Kyle Connor, each was minus-4; center Mark Scheifele was minus-3 and lost 11 of 13 face-offs.