Leela's voice actress played Peggy Bundy on Married with Children. Ed O'Neill played Al Bundy and is playing the shape shifter pretending to be one of Leela's supposed alien race (she's not an alien, but she didn't know that yet then). They are re-enacting the look and dynamic of Married with Children in this scene.
EDIT: I was mistaken, the voice actor is not Ed O'Niell, as kindly pointed out below.