When talking about not being married after the dance lesson, Brad refers to the famous short story "The Most Dangerous Game", written by Richard Connell in 1924. The story deals with a wealthy Cossack who hunts men on his private island, the scenario Brad is referring to.
All four actors portraying the parents are Oscar winners for acting. Robert Duvall (Tender Mercies (1983)), Sissy Spacek (Coal Miner's Daughter (1980)), Jon Voight (Coming Home (1978)), and Mary Steenburgen (Melvin and Howard (1980)).
According to director Seth Gordon, the film's subject is the difficulty all people have of reconciling who they are and the person they're supposed to be, which is why it's so hard to spend Christmas with one's family and why it can engender uneasiness. Naturally, he also felt Christmas was an amazing playground for comedy.
Pastor Phil calls Brad out by name to participate in the nativity play without ever being introduced. (A deleted scene shows the introduction, but in the final cut of the film they are not introduced)