Green Day's characters play different instruments from those they play in real life. However, whenever the fictional garage band is playing, it is actually the actors playing these instruments, as they wanted to sound authentically amateurish by playing instruments they were not used to playing.
The song that plays on the television while Luanne is fixing Bobby's hair is "Prosthetic Head," the final track from Green Day's 1997 album Nimrod.
The garage band is voiced by members of the band Green Day.
The title comes from the 1962 John Ford film, "The Man Who Shot Liberty Valance," starring John Wayne and Jimmy Stewart.