It didn't come without a good scare, though, courtesy of two Stars goals in nine seconds at the midway point of the second period.
Ah well, nothing like a little adversity.
As for Dube, social media was lit up with 'Fear The Beard' mentions during the game thanks to his dominating performance.
The Flames replicated the kind of start that served them well against Winnipeg, setting a quick pace and trying to establish their aggressive forecheck.
Alexander Radulov was whistled for interference on Matthew Tkachuk at 9:34, the sixth penalty drawn so far this post-season by Calgary's truculent left-winger.
The first powerplay unit generated some quality chances, including a great pass from Elias Lindholm to Tkachuk, who wired a quick shot that Dallas starter Anton Khudobin stopped.
The second PP unit, however, struck for paydirt.
On an end-to-end rush, Mikael Backlund gained the zone and passed to his left to Milan Lucic, who one-touched a beautiful cross-ice pass to Dube, who one-timed it from his knee short-side before a lunging Khudobin - with his glove arm outstretched - could make it across the net.
How quick was the tic-tac-toe pass from Lucic?
Glad you asked. The good folks on the TV broadcast timed it for us: a scant .08 seconds.
Lucic was riding a four-game-point streak coming into this series with a point in each of the tilts against the Jets.
Tweet from @NHLFlames: Fear the beard. pic.twitter.com/KX1PaB6VLD
Two former London Knights - the veteran Corey Perry and younger Tkachuk - dropped the mitts off a faceoff in Calgary's zone, exchanging some blows with Tkachuk ending up on top of the former Ducks sniper in the corner.
With four minutes to go, Dube had a partial breakaway but had a tough time settling down a bouncing puck, and wasn't able to get it up and over the blocker of Khudobin.
If at first you don't succeed ...
Dube notched his second of the frame with an absolute power move to the net, driving wide around Andrej Sekera, warding him off with an arm as he protected the puck and drove across the crease to tuck the puck home with 1:58 to play.
Tweet from @NHLFlames: What a move, Dubs. pic.twitter.com/hicgptVKOT
Sandwiched in between those tallies, Dube had a couple of minutes of rest when he was sent to the penalty box for cross-checking Jason Dickinson.
But just like the powerplay, the PK - which held the Jets to just two goals on 18 chances - continued its strong play by blanking them.
The Stars came out with a hard push in the second period.
The two teams traded great chances - Calgary's best early when Backlund made a great feed to Tobias Rieder, whose backhand attempt rolled wide.
Then came the two quick Dallas strikes.
Miro Heiskanen whipped a point shot from the right point near the boards that deflected in at 10:52.
Captain Jamie Benn snapped the puck from the opposite point after the ensuing faceoff, the puck bouncing before the net and hopping up and over Talbot's right pad.
But Rasmus Andersson put his club back in the lead with his second of the post-season with 3:59 left in the middle stanza.
He took a pass from d-partner Noah Hanifin inside his blueline and turned up ice, beating former Flame Blake Comeau and skating into the Dallas zone and taking a mid-range shot that went off the stick of Sekera just as he released it, changing direction and going high far-side under the bar.