It's a dicey proposition covering one of the greatest songs ever written (imho). The safe route is to play it pretty similarly and hope that people just like the fresh take of a slightly different production. The dangerous route is to mess around with it.
So The Killers played it safe. But I don't blame them. And I don't hate this. It's just not as good as the original.
(And since that video was so abysmal that I couldn't get through 1 minute of it, here's a kinda neat live version.)