Enstrom blasted a shot over Peters' left shoulder at 11:31 of the second, eight seconds after Jordan Staal was called for high sticking.
Tlusty opened the scoring at 6:06 of the first. Riley Nash passed from behind the net to Tlusty, who one-timed it past Pavelec.
Winnipeg tied it at 13:44 of the first. Kane poked the puck free near the Winnipeg blue line and raced in on a 2-on-1 break. He slid the puck to Jokinen, who beat Peters for his sixth goal of the season.
"When the puck drops, that's when you've got to perform," Carolina coach Kirk Muller said. "Not at the morning skate, not yesterday. It's all about playing, and we didn't have it tonight. There's no excuse for that."
NOTES: The Hurricanes placed forwards Jussi Jokinen and Tim Wallace on waivers earlier Tuesday. Jokinen has five goals and five assists in 30 games, and Wallace has one goal in 21 games. Both are minus-7 for the season. Jokinen is in the second of a three-year contract that pays $3 million a season. ... Carolina's Alexander Semin played his 500th NHL game. ... The teams played the second of four meetings in the lockout-shortened season. The remaining two games are in Winnipeg. ... The Jets improved to 10-6-2 on the road, and the Hurricanes fell to 7-9-0 at home. .. Carolina fell to 8-2-2 when scoring first.