During an interview when I couldn't answer a question about CS theory I drew on something I learned as an English major: the analogy. I said:
"Imagine that you aren't a tech company hiring a developer. You are a band hiring a lead guitarist. Do you want someone who studied music theory who can wax poetic about diminished arpeggios and phrygian scales? Or do you want Jimi Hendrix, who is self-taught and doesn't read music, but who can rock out with a Stratocaster and a Marshall Stack?"
I've used that one twice, and I've gotten the job both times. It also helps when you can pass all of the written tests. At my last job I outscored all of the CS majors on all of the tests they gave me!