So who is proposing a "website made up entirely of copyrighted works", apart from the fact that all contributors retain copyrights?
Steve Bennett in the first email in this thread, step 3.
Also fair use is not determined before usage, but after usage. There is nothing in the law to say that fair use cannot apply to anthologies of short extracts from a range of authors. In such an anthology the fair use criteria need to be considered separately for each individual item. If one happens to fail the criteria it is severable.
The suggestion isn't for short extracts, it's for the whole thing. Just because the BJAODN is short doesn't make the whole thing count as a short extract.