I've stopped wearing my Fedora baseball cap I bought from brandfuel stores because of a similar situation. I had 5 people within a time frame of only a couple hours ask me why I had a Facebook hat on. Sad times.
-AdamM (from Android )
I used to carry a backpack with a Fedora sticker on it. Ended up pasting that sticker on my desktop after constant "Oh sweet, where'd you get that Facebook sticker" questions, so I know how you feel.