Huberdeau tied it 3-3 at 14:59, skating to the right face-off circle to redirect Troy Stecher's shot from along the wall.
"We've got to come with a better effort," Huberdeau said. "We've got to get some points. Tonight we got one point, but we really needed those two points. … We have to play harder, especially the position we're in."
Backlund gave Calgary a 1-0 lead at 8:14 of the first period when his wrist shot from the right circle deflected in off Arizona defenseman J.J. Moser's right skate.
Keller tied it 1-1 at 9:22, converting Hayton's pass to the slot.
Keller has 31 goals, the most by a Coyotes player since Radim Vrbata (35) in 2011-12, and 71 points, the most since Ray Whitney had 77 that same season. He has 12 points (six goals, six assists) during a six-game point streak.
"He's found his game. … He's really playing hard on both sides of the puck and he's a complete player," Arizona coach Andre Tourigny said. "I'm happy for him now, he has some milestones and some recognition around the industry."