The lyric "We got a party on the left, a party on the right, we gonna party for your motherfuckin' right to fight" is a reference to Public Enemy's song "Party for Your Right to Fight", which itself is a reference to the Beastie Boys song Beastie Boys: (You Gotta) Fight for Your Right (to Party!) (1986), to which this music video is a sequel.
Of the many celebrities who make appearances in this short film, Ted Danson is the only one whose name is mentioned in the song "Make Some Noise" itself. In the last verse, Mike D raps, "Parlay romancing into the financing/Opened up a restaurant with Ted Danson". Presumably not coincidentally, Danson plays a Maitre D' in the fancy restaurant that the group intended to be the Beastie Boys vandalize.
Besides the actors portraying the Beastie Boys, only four actors play characters who are actually given names: Mike Mills, Jason Schwartzman, David Cross, and Orlando Bloom. Mills is credited as Sir Stewart Wallace, which was the name of Adam Yauch's character in the music video Beastie Boys: Sabotage (1994). Schwartzman is credited as Vincent Van Gogh, who not only has a bandage on his ear like the real Vincent van Gogh, but the Beastie Boys mentioned van Gogh in their 1989 hit "Hey Ladies": "Vincent Van Gogh, go and mail that ear". Cross plays Nathanial Hornblower, which was Yauch's occasional directing alias. Orlando Bloom is credited as Johnny Ryall, a reference to the Beastie Boys' titular 1989 song off their album "Paul's Boutique".
David Cross appears in this video as Nathanael Hörnblöwer, a character whose name was actually an alias that Adam Yauch a.k.a. MCA used when directing certain music videos and other Beastie Boys-related projects. Cross first portrayed Hörnblöwer in the comedic short A Day in the Life of Nathaniel Hornblower (2006), which Yauch also directed under that pseudonym. That short can be found on the DVD release of the Beastie Boys' concert documentary Awesome; I Shot That! (2006).
This video features two actors from The Office (2005): Rashida Jones and Rainn Wilson. It also features three actors from Parks and Recreation (2009): Jones, Amy Poehler, and Adam Scott. Both series were created by Greg Daniels and Michael Schur.