I think I read at one point that it was a Tama Bell Brass snare mic'd with a 57 (?). Abe's snares are often tuned pretty high; get a good metal snare and crank the hell out of it and you'll be much of the way there (now you just have to find a drummer who can live up to Abe's snare technique).
It also sounds like there's a decent amount of tasteful compression going on, though I have no idea what was used on that record - I've read that Terry Date was mixing on SSLs at that point so it could just be an SSL channel compressor. Who knows....