In the original script, "The Brad and Janet Show," this took place in various rooms in Denton, and was sung by more characters than featured in the film.  There were added verses, as well as different wordings of familiar verses.  Very interesting reading.
    At first I thought ID was short for the word "identification."  I was wrong, as a college student pointed out that ID was a part of the brain that defines your "personality."

Emily: Like a virgin, with an urgin, in a surgery
        I'll be swinging, I'll be bringing out the nurse in me
Harry: The art will start when I play my part
        As a healer who will steal your heart
Emily and Harry: Oh, look what I did to my ID
        Oh, look what I did to my ID
Cosmo: With neurosis in perfusion
Nation: And psychosis in your soul
Cosmo: Eliminate confusion
Cosmo and Nation: And hide inside a brand new role
Macy: Like a good time girl, I'm gonna try some new tricks
Ralph: This could be the start of a whole new career
Macy: Got a deep plumb lipstick and some therapeutics
Ralph: This could take us to a town that's nowhere near here
Ansalong: Got some heartfelt symptoms and I'm feeling sneaky
Ricky: Young male intern tall and handsome
Ansalong: Got my hems so high they'll think I'm being cheeky
Ricky: Legs like mine were really made for dancing
Everybody:  Oh oh oh
        Hey hey hey
Cosmo and Nation: When heavens in the music
        Hell is in control
        The angel's got the voices but the Devil's got the rock and roll
Everybody: We may look we're phony medics
        But we took our look from a book by Frederick's
        Oh, look what I did to my ID, kid
        Look what I did to my ID.