Yes they will, I never said they wouldn’t but the point of this was for me to present the factions system and possible ways for which factions will form. Civil strife will also cause other ideologies to pop up. Now that’s I’m talking about this I might talk about Governing Values Attraction. GVA is how much the pops are for or against the current governments values. Things that would affect this would be civil strife and other governments. The lower the GVA the more pops will switch to an ideology opposite of the current government.
A special trait could affect GVA, maybe they could be called conformist and renegade.