This is an awful idea for so many reasons that I'm seriously disappointed that I have to spell them out here.
For start, publishing condemnatory lists of people is bad for all sorts of PR reasons. Can you imagine what this list will look like to random visitors and what associations it will evoke?
Then, if you're going to denounce people publicly for their views, basic decency requires that you give a correct and detailed account of what exactly they said and wrote. Supporting your list with paraphrased soundbites from Wikipedia and the popular press is far below this standard.
Next, what exactly qualifies a belief as so irrational that someone who has it should be put on the official LessWrong list of shame? If religion counts, why wouldn't Marxism or any other modern ideological delusion? And if you're going to call out people for those, then you might as well save space by instead listing those who didn't (or don't) have any, according to you.
Also, as one commenter already noted, you're being extremely disrespectful towards people with mental problems who have ended up on your list. Normally I'm the last one here to insist on hypersensitivity, but this is in bad taste however you turn it.
These are not the only reasons why this list should be deleted, but they should be sufficient.
One PR problem is that the list may come across as an attempt to shame people out of their ideas (as opposed to an instructive list of examples of failure modes), and so people seeing the list may mistakenly infer that LessWrong thinks it has enough social clout to make famous thinkers fear its disapproval, and hence that LessWrong has delusions of grandeur. "Irrationalists" seems like a bad thing to title the page in this context.
Following up on an impromptu list XiXiDu made of famous recent scientists & thinkers who also held quite odd beliefs, I've created a wiki article with that list & a few other people.
This Discussion is posted for feedback on a few points: