That's a good question. I guess it would depend on what the ideology is. If, for example, it was a completely totalitarian society like Orwell's "1984" I don't think I COULD fake it, even if I tried. I would eventually say or do something that would put me on the powers that be's bad side.
I mean, we all say we want to fight for our freedom and things like that, but it's all well and good to say that behind a computer screen. but the real life threat of death is the ultimate lie-detector test when it comes to that. On that note, I would really be interested to know, if such a thing ever happened, how many of the gun-toting "freedom fighters" that are mainly found in the deep south would actually fall in line like everyone else.
So to be honest, I don't know if I would fight the good fight. Because the thing is, you have to be willing to accept in that kind of instance, even if your side wins back freedom, you probably won't live to see it.