Cultural references

The title is a reference to the Disney film Bedknobs and Broomsticks, which was previously punned in another episode title, "MyPods and Boomsticks".
The scene in the couch gag where Marge serves the Thanksgiving turkey is a visual pun on the Norman Rockwell painting Freedom from Want.
Bart, Lisa and Maggie play "Bonk It"! in the car. Bonk it! is a parody of "Bop It!".
Lisa goes online to "Wiccapedia", a parody of Wikipedia. The home page and logo are similar to those of Wikipedia.
The split screen montage featuring Homer and Cletus drinking moonshine is a reference to the film Sideways, and recreates some of its most memorable scenes.
Lisa skating on a frozen lake while the song "Season of the Witch" by Donovan is heard exactly recreates the end credits for the black comedy To Die For where Illeana Douglas's character skated while the end credits roll. To Die For is set in New Hampshire while the footage was actually shot in Canada on the Black River near Jackson's Point, Ontario. The buildings on the banks of the Black River seen in To Die For which are also animated for this episode were the passed-its-prime Mossington Park Pavilion and adjacent boathouse which were demolished in the late 1990s.
Cletus mentions to Moe "Just because one hillbilly has his way with one fat guy in Deliverance and suddenly that's all people think hillbillies do".
When he was talking to Selma Bouvier, Kent Brockman mentions the terrorist attack on September 11 in New York.

Goofs

There are two instances where, for less than a split second, Bart, Lisa and Maggie are playing on the Bonk It, and the "Bonk It" logo in the middle of the product turns up-side down.
When the family joins the highway after leaving the ski resort, The Octuplets all have yellow skin.
International Harvester and Incest Spuckler have grown since "Yokel Chords" as they are now both the same height as Dubya.

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Homer the Whopper • Bart Gets a "Z" • The Great Wife Hope • Treehouse of Horror XX • The Devil Wears Nada • Pranks and Greens • Rednecks and Broomsticks • Oh Brother, Where Bart Thou? • Thursdays with Abie • Once Upon a Time in Springfield • Million Dollar Maybe • Boy Meets Curl • The Color Yellow • Postcards from the Wedge • Stealing First Base • The Greatest Story Ever D'ohed • American History X-cellent • Chief of Hearts • The Squirt and the Whale • To Surveil with Love • Moe Letter Blues • The Bob Next Door • Judge Me Tender