It was the third goal in the last four games for Kovalchuk.
The Hurricanes also started the second period strongly, and this time they were rewarded as Jokinen got a power-play goal at 1:36.
Major credit on the score went to Joe Corvo, who faked a shot from the point that most of the Devils, including Brodeur, overplayed to the left side. Instead of firing, Corvo slid a pass to Jokinen, all alone in the right circle with a wide-open net to hit.
It was Jokinen's first goal of the season.
Dwyer gave the Hurricanes a 2-1 lead with 1:31 left in the period, deflecting Jay Harrison's point shot.
Trailing for only the third time coming into the third period this season, the Devils came out storming with Ward stopping David Clarkson right on his doorstep in the opening seconds.
New Jersey kept buzzing in the Carolina zone and the pressure paid off as Justin Faulk coughed up the puck in the Hurricanes' zone and Carter backhanded the turnover past Ward at 1:34 to tie the game at 2.
And then Tlusty took over
NOTES: Former Devils captain Kirk Muller returned to New Jersey for the first time as the head coach of the Hurricanes. It was also the first game back for former Devils player and head coach John MacLean, now an assistant to Muller....D Mark Fayne was in the Devils starting lineup despite missing the morning skate due to a death in the family....The Hurricanes had last won here on March 28, 2009.