Mork at one point calls himself a "Stranger in a Strange Land", title of the 1961 Robert A. Heinlein novel about a Mork-like character.
Mindy's act of impersonating a romance-advisor in order to discreetly or "invisibly" help her colleague closely parallels Amos 'n' Andy character Sapphire Stevens' posing as social-advice columnist "Lena Dixon" in the newspaper in order to get her husband George ("Kingfish") to allow her brother Leroy to continue staying in their house.