The musical number "Honestly Sincere" is from the play and film Bye Bye Birdie. The story was inspired by the phenomenon of popular singer Elvis Presley and his being drafted into the United States Army in 1957. The story is of teen idol Conrad Birdie whom President Obama is dressed as. Conrad Birdie's name is a word play on another pop singer of the era, Conway Twitty. Obama is seen playing a right-handed guitar, when in actuality, he is left-handed.
Brian mentioning that Peter gave him a home, and that if it wasn't for him Brian would died under a bridge is a reference to the season one episode "Brian: Portrait of a Dog", in which it is told that Peter met Brian as a a stray dog, and decided to take him home.
Stewie might hint loving the Griffins in this episode as he says "But I don't want to lose anyone!"