Yes that's the just of the argument, though my friend would argue that you don't legitimately own the car in the first place. Why do you think its so silly? Is property natural and if so how? And even if it is natural does that mean its just?
Is that similar to Nozick's argument? I suppose a counter may be that you may own yourself but you don't own the environment as other people live so close by (unless your on a desert island).
I'm trying to think of counter's and than counter arguments to them as I want to be able to answer well in response to debates with socialists on this issue.