They have stood beside her on this entire thing (remember the infamous Entertainment Weekly cover a few years back?), and IIRC it's the other two (who are sisters) that "own" the band, with Fat-alie merely being an employee. If that's the case, they could have thrown her overboard at any time and continued with a different lead singer, if they'd wanted to. It certainly would have been the correct business move, regardless of the political ramifications.
As such, I think it's safe to say they're all in on this together.
One of the sisters (Martie I think) said in the 60 Minutes interview that country used to be "cool", but now it's "redneck"... She must have not seen their "Goodbye Earl" video?