I notice that there's a lot of moderators who are pretty comfortable with deleting other user's content. And there are other users who have piped up about it.
Community internet sites with a voting system should not have moderators, and in no case should they censor posts -- except for vandalism/spam. Disgruntled users who do not like a post have the power to ask for clarification if there's disagreement. That is the adult way, not deletion, which has been both petty and academically irresponsible on Stack Exchange.
The other answers are insufficient because they answer the question from the point of view that fault from the user has already occurred or from a pseudo-guilty party, answered on behalf of disgruntled users. I will review, however.
<sarcasm>Perhaps there should be a "Censor" badge after the user has deleted a sufficient number of posts (1 maybe)?</sarcasm>