I think unhinged is like crazy--a word used to describe craze, without being a medical definition. If one's banned, I can't see the other being allowed. Although I think banning the one is touchier than I'm ever going to get.
I'm sure someone can make a case against irrational, but they'd be pretty...fucked up.
I get why crazy could be bad, but like debetesse, I have trouble thinking of alternatives, especially when you are saying things like "crazy in love" or "crazy busy".
I also keep thinking of all the songs I love that feature the the word crazy prominently.
Also the plan with the hippos is a very silly plan.
I have been writing "craxy" thinking that makes it OK but it bugs me when Dan Savage uses "leotarded" as a cutesy alternative to "retarded" so now I'm not so sure.
Whacky comes from british slang and probably refers to someone who has been hit on the head a lot.
(It's spelt 'wacky'. Don't know the etymology.)
Wordnik says "Variant of whacky, probably from the phrase out of whack; see whack". However, etymology of whacky as imitative doesn't clear up "out of whack" very well.