Seeing someone's mental illness on full display is disturbing. I suggest that you put the identities on ignore so that you do not have to read their bogus made-up claims in those moments before a moderator can delete them.

Click on their name. That takes you to their page. Under the avatar are links to "Ignore Poster" so you don't have to read his rantings, and also one to "Block Messages" which will prevent him from PM'ing you.

And again, posts referring to deleted posts sometimes need to be deleted so that people don't read them and think "Wait... what?"