The scene were Brian reads through Stewie's play 'An American Marriage' to classical music is a parody of a scene in the film Amadeus (1984), when Salieri rifles through Mozart's original works looking for a single mistake or correction.
This is the second running gag of Stewie using Dancing with the Stars (2005) dancer names as aliases. He uses Driton 'Tony' Dovolani as his pen name for his first Broadway play. Previously in Go, Stewie, Go! (2010), he used Karina Smirnoff when passing as a girl to get on Jolly Farm TV show.