Why don't we just drop points altogether and go with winning %? There is no such thing as a tie anymore, since every single game has a winner and loser (regardless of OT/SO), so just eliminate the points system altogether, and make everything about winning percentage.
You play 82 games. You win some of them and you lose some of them, and it shouldn't matter how you lose the ones you lose. (Still track regulation wins for tie-breakers.)
I think this solves everything. There are no more points for holding on to force OT. Your only goal becomes winning the game, with winning in regulation more valuable than winning in OT/SO because of the tie-breaker.