Nice story! Something similar happened to a buddy of mine with a GVR4. We were all hanging out at the street races, and the cops rolled in to the parking lot and started interrogating people about why they were there. Popping hoods and stuff. This kinda crap happens in SoCal.
Anyway, my buddy with the GVR4 gets the bright idea to take out his spare tire and jack and start jacking his car up to pretend like he was changing a tire. He purposely rubbed dirt and grease all over his clothes to make himself look like he'd be working on it for a while. When the cops got to him, he was like like "yeah, I just came here to go shopping and noticed I got a flat tire, I don't know what's up with all these race cars or whatever..." Cops bought it. Hehehehe