The episode title is a pun on the television talk show Politically Incorrect, which was hosted by Bill Maher and aired from 1993 to 2002. Even though the show's title was simply Politically Incorrect, it was commonly referred to as "Politically Incorrect with Bill Maher".
The chalkboard gag is a reference to The Adventures of Tintin, which was released (in the United States) only a month before the episode aired.
The clip Milhouse watches after Bart's Fatso Goes Nutso is a reference to a popular YouTube video in which a bear climbed up a tree and fell onto a trampoline, before landing on the grass.
The music played in the background while people are watching Bart's clip is the same music as in the film Henry V during the St. Crispin's Day speech - both scenes deal with a rousing speech. (Done similarly also in "Boy Meets Curl" when Homer gives a speech)
The news caption "Au Jis-Tice for All" is a reference on the term "...And Justice for All".
The scene in which various townspeople are gathering gravy boats begins with a reference to "American Beauty" with Chris Cooper's character, Col. Frank Fitts, getting a gravy boat from his locked cabinet seen in the film. In the room he was sitting in, there was a picture of a rose, a common symbol within the film.
When the townspeople are marching down the road, one person is carrying a sign saying "Occupy Springfield and Stay for the Garlic Festival" a parody of the Occupy movement.
The song and the background accompanying it depict several stereotypes of liberal politicians, such as high tax rates, environmentalism, and conspiracy theories about LGBT recruitment.
At the Springfield Republican Party meeting, Homer is asked to choose a "white male" Presidential nominee. However, Julius Hibbert was also at the meeting so should have been opposed to that sort of racism.
Bart says he's uploading the video to YouTube, yet Milhouse is seen watching it on MyTube.
Someone may have reuploaded it to MyTube. Popular videos often get reuploaded on the Internet elsewhere.
When Homer's clothes burst out of his suitcase, he caught his underpants on his tongue but his tongue went through them.
When Homer was getting patted down, his stubble was yellow, not brown.
Before Bart uploads Fatso Goes Nutso to MyTube, he watches a short video on his portable computer which features Homer being chased by security guards on a conveyor belt. That video should have been uploaded to YouTube, and not the video with Homer ranting.
However, Bart could have been already on the upload page, and just watched another video before uploading it.
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