Yes. Say what you will about the LDS church, the polygamists are in isolated little communities (mostly), and have all been excommunicated by the mainstream church, which aids the FBI in their efforts to prosecute. (Check out Jon Krakauer's 'Under the Banner of Heaven' more info than you've ever wanted . . .)

However, especially in small towns in Utah, if a powerful member of the local Stake takes a stand on something, you can bet that it will have a serious impact on what happens. Not that this is a religious issue, but it doesn't have to be . . .