If you ever have the chance to pull over a cop, I highly suggest you do it.
While at Nerd Prom 2007, I spent two hours standing in the middle of a 6-lane street slowing and directing traffic. The "why" isn't terribly important, but it is not an understatement to say that my job (and the jobs of lots of other people) was entirely dependent on my doing this.
What an interesting social experiment THAT turned out to be. People are assholes. I was standing in the middle of a very busy street, very obviously trying to keep everything moving in a slow and orderly way, and I cannot tell you how many people raced past me, screamed obscenities at me, or (my favorite) slowed down until they were a few feet away from me and then gunned it. I hate people. Especially people who drive cars in Southern California.
After about 45 minutes of being abused while standing in the blazing hot sun during my 10th hour of work, my patience wore dangerously thin. When I saw a white Ford Explorer coming around the corner WAY too fast, I put up my hands in the universal gesture of "slow down, cowboy" and got no response. I waved my brightly colored "SLOW" sign and smiled; no response. At this point the guy was coming way too fast and not only was he in danger of hitting me, he was also in danger of destroying the whole reason for me to be directing traffic in the first place.
So, I started to yell.
"Slow down, slow down, slow the HELL down, asshole!"
It was right about the time that my lip were forming the "h" in "asshole" that he got close enough for me to see the San Diego Police Department graphics on his side door.
Shitshitshitshitshit.
He blew past, screeched to a halt, made a u-turn, and headed straight for me. I was absolutely convinced that he was going to arrest me and prayed that my boss would bail me out. When the officer pulled up next to me and rolled down his window, his face was absolutely expressionless:
He: Ma'am.
Me: Hello officer.
He: That was very rude of me.
Me: *blinkblinkblink* Pardon?
He: To blow past you like that, it was very rude of me. I saw you there but I have to be somewhere, so I didn't slow down. I'm sorry about that.
Me: Oh, um, that's ok. I'm sure you have someplace to be...
He: That's no excuse for my behavior; I really am very sorry. I shouldn't be racing around like that without a lightbar or siren (his truck had neither). If you'd like to take my badge number and file a complaint, I completely understand.
Me: No, I don't think I need to do that. Thank you for turning around to apologize, though. I really appreciate it.
He: Do you want my number, er, badge number anyway?
Me: *blinkblinkblinkdidhejust?blinkblink* No, that's really not necessary, but thanks. You're very sweet.
He: Well you have a good day ma'am. Good luck out here.
Me: Thanks; you too, officer.
I would say that was the strangest thing that happened while I was standing out there, but about twenty minutes later a woman pulled out of traffic and ran up to me exclaiming excitedly "I know you, I know, you I totally know you!" Turns out we knew one another at summer camp, in Maine, twelve years ago - she recognized me from 50 yards while I was wearing both a hat and sunglasses. That was the strangest thing that happened while I was standing in the middle of the street.
Yelling at, and then subsequently getting hit on by, a cop was a really close second, though.