I would say anyone with a degree should use it to help them, that is why you spend 4 years attaining it. So you want to make everyone with a degree uncomfortable (somehow). Some misplaced resentment?
(interesingly, one can reversely say that lack of degree encourages you to read more because you have more to prove)
If I walked into your office and you gave me a "conversation starter" along that line, I'd think you had a chip on your shoulder. It's one thing to be proud of your achievements, a different one to use them as a crutch for your inferiority complex.
Been there, done that.