Wasn't there this post of this lady pulling out her mirror and handing it to a cop and the cop responded "Oh, I'm sorry ma'am, I didn't realize that you were also a police officer." (Just my memory?)
I wouldn't do this. Altering your ID, even as a little joke, is a crime. You might not get arrested or anything, but you are looking at being hassled with for wasting the cops time (cops are notorious for having no sense of humor) and even have your ID possibly being confiscated.
You forgot me!!!