Garrosh Hellscream is one of the most polarizing figures in Warcraft lore at the moment. You either hate him or love him, and there are very few players who stand somewhere in the middle. Ever since his introduction in The Burning Crusade, Garrosh's journey has been a series of ups and downs, starting with the moment that then-Warchief Thrall showed Hellscream how his father died. It was as a hero to the orcish race, and Garrosh has spent the majority of his time on Azeroth trying to live up to that heroic image.
It's a tough role to fill. And in the press event for Mists of Pandaria, it was revealed that Garrosh would be taken down, his role as warchief ended. Given all of the chaos Garrosh has sown in his short reign as warchief, it's no wonder that it's not just the Alliance gunning for the warchief's downfall -- the Horde isn't particularly happy with him, either. So it seems entirely likely that Garrosh will fall, his reign will end, and the world will move on.
And frankly, Garrosh's death is the worst possible thing that could happen.