Well...
Once I parked in front of Mike's house, I went ahead and checked under the hood. There was some light smoke coming from the engine, and I noticed that the bottom part of the engine - I am in no way mechanically-inclined - looked very black, like it was covered in oil. And I think it was that oil that was burning off. I think.
I knocked on Mike's door. No answer. I knocked again - he has one of those train car apartments, and he lives on the second floor, so sometimes it takes a while for the knocking to register - and his doorbell doesn't work either. Then I called him on my cell just to make sure. I could hear his phone ringing inside, and then his answering machine picked up. Hmm...
After some hemming and hawing, I called Steve, and told him about my car situation. At first I was thinking I would just drive back to Steve's place and then he would drive me to my parents' new house. Thankfully, Steve thinks these situations out a bit better, and he suggested that he come pick me up and then bring me to my parents' new house. -And that's what he did. -And I figured my car would be safe in front of Mike's place anyway, and I could figure out how to get it from there. Eventually.