Arlo Guthrie alludes to this in his 1967 anti-draft song, “Alice’s Restaurant.” He says something to the effect that if two guys together, at their draft physical, sing “You can get anything you want at Alice’s restaurant,” that “they’ll think you are both faggots and won’t take either of you.”
While a pretty accurate rendition, you forgot one phrase, which says "in harmony," and goes between 'restaurant' and 'they'll'...
the infowarrior