The 3 main characters are having dinner with Anne Bancroft. You can see Jenna Elfman's dark roots. After she and Ben Stiller go home the roots are light. Did she stop to get her hair touched-up on the way home?
When Milos Forman, who plays Father Havel, talks to Edward Norton about faith in the private quarters of the church he tells Norton that he came to America when the Russians invaded Czechoslovakia. He actually did so in real life.