I had similar 'weird' incidents happen to me, twice.
I was living in Hawaii in an apartment complex off the canal, and I was down in the garage doing my laundry. A swarm of police surround the garage and several officers approach me. I don't think anything has to do with me so I just keep doing my laundry. A police officer asks me for my name and my ID and I tell him I don't have it with me, that it's in my apartment. So, he tells me to go and get it and walks with me up to the 7th floor where I lived (I expressed my displeasure at doing this but felt it was the only way to get whatever they needed cleared up so I could get on with it). I show him the ID and the officer tells me it's 'fake.' He says first that there is no way that it's my real name (it's super common, big deal) and he says second that there is no way they would let me take my Driver's License with a ball cap on (I was wearing a CAT truckers cap in the photo that I got when I was doing construction). I tell him that it IS me and that they didn't tell me to take it off when I got the photo taken so I didn't (the DMV was in Santa Cruz CA, if you've been here you know this isn't out of the question esp back some years). So, now we're going back and forth and he asks me if I am from some place like Spain or Portugal or some sht, arguing with my about my 'name' and the stupid photo, etc. I am like no dude and I only know some Spanish but it's like 'me gusta taco bell.' FOR 3 HOURS this questioning goes on and on and on, asking the same questions over and over, I tried to get back to my laundry and told them I had to leave, etc, they didn't give a rats ass Finally, he tells me that I fit the description of a pro surfer who had murdered his Hawaiian model girlfriend and was 'on the run.' I was like 'we went through 3 hours and I obviously don't have an accent, I don't have black hair, I showed them my mail, my ID, etc, and they wasted my one fing day off of work jerking around with this sht. I am all up for how tough it is being a cop, I have a lot of respect for law enforcement, etc. but really, I can see how sht can get out of hand and power can be abused.
The other situation was even worse (also in Hawaii a few years later), I was mistaken for someone who had almost killed a guy at Ft. Derussy with a skateboard. First off, I was just walking down the street and all of a sudden what seemed like a team of commando cops come flying up, jump out of their cars and slam me spread eagle on the street. A cop car pulls up and they stand me up but there is a blaring light shining in my face. I hear a woman say 'Ya that's one!' and then boom I am arrested. It was a 3 day holiday and I was on a fed holding pen being questioned for what seemed like 10 hours or more straight, then an hour break, then again, then sleep for 6 hours, then again.... We had peanut butter sandwiches and scrambled eggs for 3 days, and it was over Easter weekend. The guy comes out of a coma and says 'who the fk is that guy?' and they let me go (no sorry no nothing, but the main interrogaring officer says to me, 'I didn't beleive you did it, you never broke from your story and we went through your wallet and your receipts show you were eating like you said you were at the time of the incident.' He smiles and opens the door...wtf.
Turns out the guy in the coma had picked a fight with some guys skating by him, told them to go on the grass and fight him, they ended up knocking him out but the grass was on the military base so it was federal. I think about that that stupid chick who said it was me and what if he hadn't woken up... sooo lame.