Well, had the refs actually followed the stated rules of the NHL, that game would never have gone into overtime.
You can't push a goalie into the net with the puck. It's in the rulebook--Rule 78j--"In the event that a goalkeeper has been pushed into the net together with the puck after making a stop, the goal will be disallowed. If applicable, appropriate penalties will be assessed. In the event that the puck is under a player in or around the crease area (deliberately or otherwise), a goal cannot be scored by pushing this player together with the puck into the goal. If applicable, the appropriate penalties will be assessed, including a penalty shot if deemed to be covered in the crease deliberately (see Rule 55(c) -- Falling on Puck)."
That goal was BS, and if I was Babcock, I'd sit down at the post-game press conference, pull out the rulebook, read the rule clearly, close the rule book, and get up and walk out.