More than half of the announced sellout of 19,204 loudly rooted for the Blackhawks, many wearing Chicago's home red jersey.
"I didn't see any red," Bishop said with a laugh. "It's fun to keep those guys quiet."
"A solid game by all four lines, the D, and Bish played extremely well," Stamkos said.
Stamkos has 11 goals and 17 points in nine games against Chicago.
Chicago backup goalie Scott Darling stopped 25 shots.
The Blackhawks beat Florida 3-0 Thursday in their first game since losing leading scorer Patrick Kane, placed on long-term injured reserve Wednesday with a broken left collarbone suffered in Tuesday's 3-2 shootout win over the Panthers.
While the Lightning were coming off a four-day break, Chicago was playing its third game over that stretch.
"No excuses," Blackhawks defenseman Duncan Keith. "It wasn't our best game."
Boyle opened the scoring in the second period from the slot off a nifty pass from behind the net by Jonathan Drouin. Stamkos made it 2-0 after deflecting Jason Garrison's shot from just inside the blue line with 2:07 left in the second. He added his 34th goal on a late third-period power play.
Callahan put the Lightning ahead 3-0 by redirecting Valtteri Filppula's pass during a power play in the third period.
Tampa Bay's second-ranked home penalty-killing unit killed off three Chicago power plays during the first session. Bishop made six saves on the Blackhawks' third try late in the period.
Boyle offered the game puck to Bishop, who didn't want it.
"He's a pretty unselfish guy," Boyle said. "He wants to win. The No. 1 star for a reason."
Keith was given four minutes for high-sticking Cedric Paquette midway through the first, but the Blackhawks' road-best penalty killers limited Tampa Bay to two shots.
The Blackhawks got a break when Nikita Kucherov beat Darling just seconds after the first period ended.
Chicago acquired D Kimmo Timonen from Philadelphia for a 2015 second-round draft pick and a conditional 2016 fourth-rounder. Blackhawks GM Stan Bowman said he is also looking to add a forward before the trade deadline. ... Paquette was briefly out for treatment after getting cut around the mouth on Keith's high stick. ... Garrison had two assists. ... Tampa Bay D Victor Hedman played one day after leaving practice early due to an undisclosed problem and had an assist.