The Flames are now an impressive 10-2-2 in Saturday-night tilts this season.
Blueshirts blueliner Adam Fox - who was roundly booed each time he touched the puck in the game (Flames fans still mad he didn't want to play here) - was called for high-sticking Dillon Dube 50 seconds into overtime.
On that advantage, Rasmus Andersson made a great play along the boards to keep the puck in the offensive zone, the biscuit ending up on the stick of Jonathan Huberdeau who snapped a shot that Backlund deftly tipped past Jaroslav Halak.
Jacob Markstrom got the win and was excellent, turning aside 18 shots, while Halak made 29 saves. New York was on a tear coming into the outing, winning seven straight and collecting points in nine games.
Calgary was coming off a 5-2 loss to the Red Wings on Thursday night, while the Rangers had rallied for a 5-4 shootout win against the Oilers up the QEII Friday night.
These two clubs went to OT at MSG back on Feb. 6, the Rangers getting the 5-4 victory in a memorable affair.
Notable on the night was that Elias Lindholm missed the tilt as he and his wife are expecting their first child.
Andrew Mangiapane and Nazem Kadri scored in regulation in what was a thrilling start at the Scotiabank Saddledome.
Mangiapane's goal was a gem, coming just 38 ticks into the tilt.
The Flames speedster gathered the puck and split defencemen Jacob Trouba and K'Andre Miller, then with the latter still in his back pocket and jostling him, he cut across the crease and outwaited Halak to put a backhand up-and-over the prone netminder.
Before that goal could be announced, the Flames broke into the Rangers zone off the ensuing faceoff and Huberdeau fed a trailing Kadri, who stepped into a rocket of a shot that found net farside under Halak's glovehand.
Youngster Jakob Pelletier got the other helper, his second NHL point and first assist after scoring against Buffalo on Feb. 11.
