[Bring_Back_Shantz]

No, this is a terrible idea.
It will add nothing to the game, things are already exciting enough with teams trying to score until the buzzer, and at some point it will come back to bite everyone in the butt (See: 1999 Stanley Cup).

There is no reason to replace a perfectly fine, cut and dry rule with one what will be complicated, add very little, if anything to the game, and is almost 100% certain to cause some sort of major controversy.

Also, soccer just stops when time is up, football they just kneel and run the clock half the time, in baseball they don't even bother playing the bottom half of the 9th if the home team is up. So almost no one plays to the bitter end. Different sports finish the game in different ways for a reason. Hockey's method and reason are just fine as is.