Chalkboard: I will not pledge allegiance to Bart

Couch Gag: The family runs in the living room but there is no couch to sit on.

Itchy and Scratchy's New Temporary Opening:

They love, and share.
They share and love and share.
Love, love, love,
Share, share, share.
The Itchy and Scratchy Show!

Itchy: This really hits the spot.
Scratchy: Doesn't it though?
Itchy: You make really good lemonade Scratchy.
Scratchy: Why thank you Itchy.

Roger Meyers Jr.: Listen you're so smart, how do we end this picture?
Marge: Hmm... well, what's the problem you're having?
Roger Meyers Jr.: Ok, here it is: Itchy just stole Scratchy's ice cream cone and--
Animator: No, make it a pie. Pies are easier to draw.
Roger Meyers Jr.: Okay, a pie! Anyway, Scratchy is understandably upset.
Marge: Uh huh.
Roger Meyers Jr.: So we figured he could, you know, just grab Itchy and toss him in a bucket of acid.
Marge: Oh, dear!
Roger Meyers Jr.: But then we remembered that this might be interpreted as violence, which is morally wrong now thanks to you. So, what's your big idea? How do we end this?
Marge: Hmm... let's see. Umm... oh! Couldn't Itchy share his pie with Scratchy? Then they would both have pie!
Roger Meyers Jr.: (Looks at the story board) It's different, I'll give you that

In the beginning of the episode, after Maggie hit Homer on the head, it shows Homer lying on the couch with Bart & Lisa on the left. In the next shot, it shows the TV, in the next shot it shows Homer on the left sitting down and Bart & Lisa on the right. It would be impossible for Homer to get up and switch sides with Bart and Lisa in less than 5 seconds.

Looney Tunes

The last Itchy & Scratchy cartoon near the end of the episode with the bigger and bigger guns, appears to be a reference to the 1950 Looney Tunes cartoon "The Rabbit of Seville" where a similar joke occurred between Bugs Bunny and Elmer Fudd.

1960 Election

Roger Myers Jr: The screwballs have spoken.

This line and the way it's spoken are a parody of the famous line spoken by Richard Nixon after being the 1960 election by JFK. The original line was "The voters have spoken. The bastards."

Psycho

After Maggie hits Homer with the mallet, he takes the tarp on the bench. The image of the rings snapping and then the red paint (blood) flowing down the drain are allusions to the famous shower scene in Alfred Hitchcock's 1960 film, Psycho. Also, the Psycho theme plays each time Maggie threatens Homer.