Yes, they are listed in the 'Crazy Credits' section of the main imdb page.http://www.imdb.com/title/tt0462538/crazycredits
No. It's been commissioned to air until 2011.In addition to this, the cast are contracted to do a further two movies after this one should they be made.
Yes.Dr Nick Riviera is shown to be impaled by a giant shard of glass at the end of the film, the only casualty of the destruction of the dome covering Springfield. His last words are "Bye, everybody", a variation of his catchphrase.However, in an interview with MTV James L. Brooks and Al Jean hint that he'll somehow return to the show in future.
Yes, whilst he is skateboarding you briefly see Bart's penis.
James L. Brooks suggested that they use a real life political figure instead of a fictional character (such as the series' Schwarzenegger parody Rainier Wolfcastle), and deliberately chose to use Schwarzenegger in the role in order to not date the movie when the current President ends his term in two years.
People: Hillary Clinton (as Itchy's vice-president), Green Day, Bono Vox (When the irish Lisa's friend claims he's not Bono's son), Arnold Schwarzenegger, Tom HanksMovies or Programs: Titanic (When Green Day are drowning, playing violins), Spider-Man, Harry Potter, Disney (when helping Marge and Homer undressing), An Inconvenient Truth, Grand Theft Auto, Happy Feet (during the scene of Grant Theft Walrus, the walrus shoots a dancing penguin), Lord of The Rings (an Orc is seen in the mob scene), The episode of Simpsons "Bart the Daredevil" (when the ambulance crashed into a tree)
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