A conspiracy whose conspirators believe they are doing a morally good thing is still a conspiracy. In fact, in one or another way this is probably the case for most conspiracies - as they say, nobody is the villain of their own story. Does it make a difference if some people outside of the conspiring circle agree with the conspirators that their cause is righteous? I don't see why, and it's not like everyone or even an overwhelming majority agrees - otherwise there would be no need to conspire.

I didn't speak to their individualized or group subjective motivation, but an objective measure of what was done, so your whole response is completely off.