I've been restricted to 2-3 comments in a 24-hour period in the past for "not reviewing fairly", which stems from hitting the thumbs up or down button repeatedly without reading the posts they want you to review, and repeatedly saying that every comment is civil.  In other words, yes...I have given thumbs up to comments I disagree with.

It seems to me that if the system knows the comment isn't civil, then it should be taken off.

I have also had comments not published for not being civil....and not knowing why it was deemed as uncivil, other than maybe one too many people didn't like it.