Neither side can win by parliamentary means. Neither would willingly accept a decision unfavorable to it. Such a split in society foreshadows a civil war. The threat of civil war creates a need in the ruling class for an arbiter and commander, for a Caesar. That precisely is the function of Bonapartism.
Every regime claims to stand above classes, safeguarding the interests of the whole.
But the effects of social forces cannot be so easily determined as those in the field of mechanics. The government itself is made of flesh and bone. It is bound up with certain classes and their interests. In peaceful times a democratic parliament seems to be the best instrument for reconciling conflicting forces. But when fundamental forces veer off at 180-degree angles, pulling in opposite directions, then the opening for a Bonapartist dictatorship appears.