You're exactly correct, and have come to one of their fundamental concepts for control of the world. The masses are driven through history by a false dialectic, which in it's final form contains only the polarities of "good" and "bad". What was good about the Nazis or Confederates, or bad about the Allies or Union? Why nothing, of course.

In their occultic metaphor, pieces are moved about the chessboard from black to white and white to black according to specifically defined rules. They don't just wander about the mosaic floor as mood and preference strike each individual piece. That would be chao, and what they are shaping is solely ordo.