Marge protests against Mixed Martial Arts after Bart gets in trouble for fighting in school.
Action Girl: Marge turns into one, as well as Lisa at the end of the episode.
Artistic License – Martial Arts: Marge shows her fellow Moral Guardians a MMA clip in which a fighter pounds another on the ground for a ridiculously lengthy amount of time (the clip is sped forward and it still doesn't end). In reality, MMA referees are ordered to stop the match at the moment one of the fighters is perceived as unable to defend himself anymore and, depending on the individual referee, they might only allow a few unanswered strikes before stopping the match. Prolonged beatings on an already beaten opponent did happen in the old times of the sport, most notably in the Brazilian vale tudo and the first days of the UFC, but nowadays it's more probable to happen the other way around and have a referee prematurely stop the match when the "victim" could have gone for more time (or so they often claim).
As Himself: Real life MMA champion Chuck Lidell appears signing autographs.
Domestic Abuse: Implied when Chett says he feels odd for hitting a woman he doesn't love.
Fan Hater: In-universe with Marge, who's main motivation to have Mixed Martial Arts banned is because she hates it and is appalled by people liking it.
Frivolous Lawsuit: After Homer and Bart watch a fight, Homer tells Bart not to do it at home but at school where they can sue over eventual injuries.
It's All About Me: One of Marge's lines states that if she hates something, no one is allowed to like it.
Murderous Thighs: Marge finds Bart holding Nelson in an inverted triangle choke in the schoolyard.
No Celebrities Were Harmed: Chett Englebrick seems to be a mix of real life personalities related to mixed martial arts. He is part Dana White, president of Ultimate Fighting Championship, for leading an UFC expy and being outspoken and brash; part Nobuyuki Sakakibara, chairman of PRIDE Fighting Championships and currently of RIZIN Fighting Federation, for his glasses and smug attitude; and, oddly enough, part Vince McMahon, president of WWE (which has nonetheless employed several MMA fighters over the years), for his hair and face design.
Chett tries a Diving Kick while Marge is turned away after she believes she has just defeated him, just like Johnny Sun does to break Bruce Lee's back in Dragon: The Bruce Lee Story. However, Marge senses him and turns to knock him out in mid-air, like Mike does to the treacherous Justin in the MMA film Never Back Down 2.