You could follow the story, even if you weren't a fan.
And if you were willing to throw your sense of logic and plausibility out the window.
I certainly agree there was some questionable logic in this thing, but not EVERY Star Trek story has to have an airtight plot you know.
I mean, to me nitpicking this movie to death is like watching, say, "A Piece of the Action" and getting so completely hung up on the ridiculousness of the Mob Planet itself that you fail to enjoy all the great humor and character moments and twists and turns in the actual STORY.
Even on TOS, sometimes you just had to roll with it. And this is another one of those times. Do I wish this movie had a stronger underlying plot? Of course. But that doesn't mean we can't overlook those problems and still enjoy the movie.