Religious demands for vegetarian diets (such as ones brought by prisoners under RLUIPA): Kohlrabi Lobby.
Radical Islamist religious accommodations: Wahhabi Lobby (the term has already been used in a different context). Non-Wahhabist Muslim accommodations might be the Abu Dhabi Lobby or Chalabi Lobby.
Elves: Dobby Lobby.
Japanese food (perhaps a ritual of the Flying Udon Monster church?): Wasabi Lobby.
Accommodations sought by Gov. Jindal of Louisiana: Bobby Lobby.
UPDATE: Commenter lawmedy reminds us that The Onion anticipated this last year.