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.