Euphemism for a cat's asshole, named after former Arizona governor Evan Mecham (1924-2008). Mecham achieved notoriety when he rescinded the MLK holiday in Arizona, claiming that Martin Luther King Jr. was not of sufficient stature to deserve a holiday; he was ultimately impeached for obstruction of justice after serving one year in office. A popular joke during the campaign asked, "why do cats lick their assholes? They're polishing their Mecham Buttons."
Honey, don't let the cat sleep on my pillow; I don't want his Mecham Button rubbing where I put my face.
by GOPSackSuckers October 26, 2014
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