Set up by Kane, Campbell opened the scoring 3:05 into the game while Ville Koistinen, the star in Florida's win Friday, was off for interference. Campbell fired low from the point, with Byfuglien providing a screen.
"It was nice to score early," Quenneville said. "We had more energy early in the game now, we got a lot of loose pucks and had four lines capable of scoring and making plays. Some guys were dangerous in both games, but it was more consistent now."
Florida came back with a strong start to the second period, but Kane's opportunism led to the second goal 5:12 into the period. Sharp fired at full speed from the right wing, and Kane was a split-second faster to the rebound than defenseman Keith Ballard and put it into the net for his second goal in as many games.
"You have to be pleased ... for our team, and for myself," Kane said. "I was able to help the team well."
The Blackhawks couldn't convert on a two-man advantage for 55 seconds a few minutes later, but went up 3-0 with less than a minute left in the period when Michael Frolik was off for tripping.
The Panthers threatened while short-handed, but after a second try the puck got loose, Kris Versteeg chased, beat Ballard to it and passed to Sharp, who shot past goalie Tomas Vokoun. He finished with 29 saves.
Florida coach Peter LeBoer wasn't happy with the split.
"A month ago I would have taken it, but after winning the last game you get greedy and want the four points," he said. "We're a skating, forechecking team and need legs. Part of it was that we didn't have the legs and part that Chicago played a great game and made us look bad."
Copyright by STATS LLC and The Associated Press
Referees: Brad Watson, Dan Marouelli Linesmen: Scott Driscoll, Tim Nowak
Team Stat Comparison
Power Play Goals
Power Play Opportunities
Shots on Goal
Brian Campbell (1)
(Power Play) Assists: Patrick Kane, Dustin Byfuglien
Patrick Kane (2)
Assists: Patrick Sharp, Duncan Keith
Patrick Sharp (2)
(Power Play) Assists: Kris Versteeg, Brent Seabrook
Dustin Byfuglien (2)
(Power Play) Assists: Dave Bolland, Brent Seabrook