this is pretty minor but please don't try to speak for the entire group in terms of their personal ideology or analysis of a historical event.
As for the "repression" of the bourgeoisie, I don't think we should fetishize revolutionary violence or support arbitrary acts of violence against perceived bourgeois sympathizers. Our approach shouldn't be just to kill rich people or capitalist supporters but rather to transfer power from one class to another - and this isn't done by violence alone, this is done by the creation of new administrative bodies which will control the state (when it exists) and economic production and which are genuine organs of the working class.
As for violence, I think the use of violence (active violence specifically) to maintain authority or a specific power relation is indicitave of some inherent weakness in that structure, with regards to its hold on the authority in question. To draw an analogy, a parent who constantly has to spank his children or appeal to the threat of physical violence has obviously not adequately enforced his authority or reproduced the conditions necessary for him to maintain his power in the relationship (respect for elders, trust, etc). Expanding this to our situation, a revolutionary class which must use active and directed violence to maintain power (sending people to gulags, executions, suppression of speech, etc) is obviously a class which has not sufficiently acquired power and reproduced the conditions for its continuation. So if we're put in a position where the power of a state (a revolutionary workers state) is in jeopardy and it must go out decapitating its opponents, that means that the working class has not sufficiently taken power. Therefore its next goals should not be violence but control of the state and production.
the point I guess is that our emphasis should be on the worker control of production (and the transformation of production towards the abolition of wage-labor and the commodity) and of local administrative bodies, not just arbitrary violence.