This reminds me of the movie The Lookout. In it, at one point the protagonist is pulled over and asked for his driver's license. However, he's mentally disabled and, in that scene, very stressed out; instead he hands the officer a card indicating his disabled status rather than his license and is subsequently released without turning in identifying information, which turns out to be beneficial for him. 2007 was a different time.

Also, I'm not saying OP is disabled or anything, my brain just practices freeform association so the whole "handing over the wrong card" thing connected to a movie I haven't seen in almost twenty years.