Any political belief? In the real world, I've found people's political and moral beliefs to be vaguely coherent, but usually there's at least one hypocritical and/or contradictory belief in there. People try to justify themselves, and define principles, but I'm not aware of any successful attempts to build up a moral system from just a few axioms the way [Principia Mathematica](https://en.wikipedia.org/wiki/Principia_Mathematica) builds mathematics.
As such, I'd say that yes, any PC can hold any political belief, no matter how seemingly contradictory, because they're supposed to be human(-o…