Movementarianism is a spoof of multiple cults, one being Scientology with the appearance of the Leader being based on that of L. Ron Hubbard. Another cult spoofed was the "Moonies" of Sun Myung Moon, whereby new members would enter training camps with banners and balloons that read "Welcome Home Brothers & Sisters". Training would be intensive, where sessions would last for several hours and privacy was nonexistent. Moonies were also known for "mass marriages", as shown by the Movementarians. Another cult leader spoofed was Bahagwan Shree Rajneesh (also called "Osho"). Like The Leader, Osho was infamous for driving in a Rolls-Royce while his followers lined the side of the road to watch him go by.
When Marge attempts to leave the compound, she is chased by the Rover guard "balloon" from the 1967 television program The Prisoner.
The song "I Love You, You Love Me" from Barney and Friends is used to brainwash babies. The Barney the Dinosaur knock-off used here is the same one from Rosebud that kept saying, "2+2 is four" before Mr. Burns interrupted all programming in Springfield. He was singing:
"We love him
He loves we
We're the leader's family"
The symbols Mr. Burns attempts to use in his religion are The K from the Kellogs brand cereal and the Ears of Mickey Mouse from Disney.
Willie, Lovejoy, and Marge are all unable to knock out Homer by hitting him with bats - this is a reference to the episode "The Homer They Fall", which reveals Homer has a protective layer around his brain which gives him a great deal of protection.
Mr. Burns' head is seen in the first row from behind as people are watching the film about "Bilsstonia", but when the camera changes in front of the people, he is not seen.
As Homer and Bart walk past the people advertising religion, the initial side-view shows two men who are gone when the camera changes angles and pans to the side: a man sitting down with a drum and another man in an orange suit jacket.
Ned is seen offering beer to Homer in his rumpus room but in the episode Hurricane Neddy, he says in the church "I don't drink or dance or swear". He was also seen offering imported beer from Holland to Homer in Dead Putting Society, so it could be he keeps beer for guests, or made the remark in a moment of anger, meaning he does not drink to get drunk (very unlike Homer).
Lisa's dress briefly appears with sleeves while she, Homer, Bart and Maggie are held in Ned's rumpus room.
How did The Leader's fake spaceship feature elaborate blinking lights if it was merely made of wood and had no visible power source seen when it fell apart?
When the "spaceship" initially powers up near the end of the episode, it emits a low-pitched hum. But after it breaks apart and reveals the Leader's pedal-powered craft, the humming (done by the Leader using a comb and wax paper) is now mid-toned.