Some people on this forum (even some with many posts) give the impression they are writing from mental hospital.

Unless you include me in that, in which case

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Whilst there are certainly some off topic posts, some malicious posts and some just plain weird ones, I suspect that individual topic starters are just as likely to be guilty of each of these as posters withing the topics.
Apart from destroying the readability of some threads, it would also allow some people to post their own outlandish ideas and then crush all opposition. I know that the opponents could start a new thread, but for readers that becomes something unmanagable to follow.
My vote would go to not allow the power (assuming it's even feasible technically).
I should also point out I'm not suggesting any of the previous posters in this thread would use the power in the ways I've suggested. But a quick glance through the board should indicate that there are plenty of likely suspects.