The murder of Sheikh Mujibur Rahman is a reasonable example of this, I think.
In general, though, I would say that in a leftist dictatorship, the sorts of institutions that usually support right-wing dictatorships (particularly the military) adopt a leftist patina.
Yeah, my thought was that the sources of right-wing authoritarian government need institutional legitimacy, which a left-wing authoritarian government will not lend them; they become more left-wing authoritarian to survive. The sources of left-wing authoritarian power typically spring forth from grassroots agitation and have no such need; therefore it is easier for left-wing authoritarian governments to arise under and replace right-wing authoritarian ones.