With Hasek sidelined with the flu, Legace got the start despite undergoing an MRI earlier in the day for a sore neck.
"I just thought I was going to go to the hotel and relax and wait for game time," Legace said. "After that, I jumped in to another taxi at about 4:30 to get to the arena to get therapy on my neck so I could play. When I got there, Dom was just so weak and couldn't keep down food all day."
Datsyuk assisted on the game's first goal 82 seconds into the first period when his point-blank shot was stopped by goaltender Tom Barrasso. But Mathieu Dandenault was standing in front of the crease and put the puck past Barrasso for his second goal.
"He's very talented and a lot of people are going to get a look at him," Red Wings center Kris Draper said of Datsyuk. "He's very shifty and the more Scotty (coach Scotty Bowman) plays him, the more confidence he's going to get."
Datsyuk doubled the Red Wings' lead exactly five minutes later, taking a pass from Boyd Devereaux on the left side and crossing to the right before putting a backhander past Barrasso.
"We got two goals out of the young line," Bowman said. "Mathieu Dandenault scored one and Pavel Datsyuk scored his first NHL goal. They give us a lot of energy out there."
Brendan Shanahan capped Detroit's three-goal period just over two minutes later and Steve Yzerman and Draper scored in the third as Detroit improved to 5-0-0 on the road.
The Hurricanes cut the deficit to 3-1 with 6:35 left in the second when Sami Kapanen took defenseman Sandis Ozolinsh's pass in the neutral zone and skated in alone on Legace. The former All-Star deked left and beat the goaltender to the stick side.
Ron Francis halved the deficit 2:09 later when he deflected Jeff O'Neill's slap shot from the right faceoff circle over Legace's left shoulder. It was Francis'third goal of the season and 15th point, giving him sole possession of fourth place in the NHL.
"I thought we did a real good job in the second of getting back into it," Hurricanes coach Paul Maurice said.
Yzerman restored Detroit's two-goal advantage 4:10 into the final period when he took a feed from Luc Robitaille over the blue line, moved in and wristed a low shot past Barrasso's left skate.
The Red Wings improved to 7-0 when leading after two periods.
"When you play a team with that firepower you know you've got to skate," Maurice said. "We just couldn't get physically involved in the game."
Detroit was 0-for-3 on the power play while Carolina was 0-for-6. The Hurricanes have just two goals in 52 chances this season.
"The last couple of games we have had some chances that haven't gone in," Francis said. "We just don't have time to practice it either because we have four games a week for four straight weeks."