See, the problem is I don't think the Terran Empire as a concept holds up well to scrutiny. Any social system which allowed you to openly murder your way to the top would not be stable over a period of generations. An emperor would rise to the top who decided the system risked his life (and setting up his children for the good life as well) and would try and tame it into a still horrifying, but less chaotic system. Not to mention the butterfly effect. If people die on Terran Empire ships as frequently as the Mirror Universe suggests, there is no way that we should still have doppelgangers bouncing around by the 24th century.
It basically only works as a campy joke, IMHO. But I'm willing to give this arc the benefit of the doubt.