The title is a reference to the extremely unsuccessful, Golden Raspberry Award-winning movie Stop! Or My Mom Will Shoot!.
The song played when Santa's Little Helper looks for Homer in the maze is KoЯn's "Freak on a Leash". The scene follows Santa's Little Helper's path; the video for "Freak on a Leash" follows the path of a bullet.
In Bart's vision, Santa's Little Helper becomes a dog version of RoboCop and shoots down a giant, living math book, Jason Voorhees from Friday the 13th and Pinhead from Hellraiser.
The last line of the show is Groundskeeper Willie after he adopted the python, saying, "That'll do snake. That'll do." This is a parody of a famous line from the film Babe. This is also a parody of the line in "Shrek", when he says to Donkey "That'll do, Donkey. That"ll do".
The song playing in the background as Santa's Little Helper goes through police dog training is the theme from the 1970s crime drama series S.W.A.T.
Lisa suggesting that Santa's Little Helper barks for novelty Christmas records is a reference to Don Charles' version of "Jingle Bells" from 1955, popularized further through Dr. Demento's radio programs.
In the scene where Santa's Little Helper and Lou are about to have sex with the poodle and the other woman, Lou said, "Okay, so who's going with who?", meaning that Lou may be a zoophile, which is a person that has sex with animals.
The last time Bart had a wild animal for a pet, which he names after his attack method and attacks Homer was in Bart Gets an Elephant.