They disabled the button on the privacy setting page, but as of a few moments ago, this url still worked:
http://www.facebook.com/[your short url]?viewas=[id]
Edit: The button from the privacy settings page is working again.
In general, though, cutting chat while trying to fix this is probably a Good Idea. Less room for bad things to happen assuming you can turn chat off more quickly than you can fix the behavior.