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 clip in which a MMA fighter pounds another on the ground for a ridiculously lengthy time (the clip is sped forward and it still doesn't end). In reality, this is precisely what MMA is not. Referees are tasked 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 extra strikes on a defenseless opponent to be sure he is really so.
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 RIZIN Fighting Federation, for his glasses and vaguely smug attitude; and, oddly enough, part Vince McMahon, president of WWE (who has nonetheless employed several MMA fighters), for his general character design.