Rather than duplicate work that's already been done, I wanted to point over to The Ice Block, where they reviewed the 2005-6 final standings, based on the change under discussion, whereby 3 points rather than 2 would be awarded for a victory in regulation.
Again, the point may not be that past or present standings would change significantly, but rather how coaches might or might not change their philosophy going forward in the 3rd period of close games. Perhaps the better option (and I can't recall where I've seen in, hence the lack of a link) is the idea of not awarding a point to teams that lose in overtime, taking away the safety blanket that teams are holding onto so tightly.
Again, the point may not be that past or present standings would change significantly, but rather how coaches might or might not change their philosophy going forward in the 3rd period of close games. Perhaps the better option (and I can't recall where I've seen in, hence the lack of a link) is the idea of not awarding a point to teams that lose in overtime, taking away the safety blanket that teams are holding onto so tightly.