I think the moderators should be able to censor posts that run contrary to the board's purpose.

Maybe in cases where such censorship has taken place, a short text message explaing that the post was censored or moved to another board can be inserted along with a hyperlink to the original uncensored text (so that those individuals who want to examine the unredacted post can do so freely but everyone else who could care less are not forced to view it).

It would then be possible to take the censorship discussion and/or board violation discussion to a new thread or new board without destroying the continuity of the original thread.

Yes it gives the moderator a lot of power, but by keeping a link to the original, it keeps the moderator and the offending poster honest.