Statistical psychology/sociology

The fundamentals of psychology and sociology are largely based on statistics. That is, there's an underlying assumption that most people fall into similar patterns of behavior. So, there's nothing new in that. Of course, most of psychology and sociology are qualitative, because they're mostly practiced by humanists who don't know and don't want to know about quantitative, mathematical techniques. That kind of hard science tends to ruin their humanist vibe and offends them by reducing a human being into numbers.

I think what you, OP, are trying to ask is this: is there a statistical theory that accurately predicts political movements, birth and death of ideologies, behavior of markets, revolutions, and general conditions for societal stability. No, there's no such unified theory.