The only cure to finding a winner is sudden death. I would even like to get rid of three point games. A win is a win and a loss is a loss. We'd see some pretty kick ass hockey watching teams avoid overtime. You go to overtime and both teams are losers (so to speak). Overtime is extra time on ice. It's draining. Imagine playing a full overtime or maybe more than one full overtime. Imagine those guys have to play a back to back the next night. We'd see a lot more games end in regulation.
The only hokey scenario I would like be remotely okay with is pulling both goalies for overtime (sudden death). A defenseman (or any skater) could play in front of the net.
Maybe the coaches should play three on three overtime (no shift changes).