There's no rule that says that the two must work in concert.
Ok, please provide examples where two dissimilar ideologies work hand in hand and it doesn't result in a major change in the government of that nation. I can't help but think of the Soviet Union and how they tried to integrate some free market (capitalistic) principles into their communist regime and the result is now Russia.
I must admit that I don't really have a grasp of what you are saying here and I need further clarification in real world examples, not theories.
--I find that the harder I work, the more luck I seem to have. " - Thomas Jefferson