However I would disagree. The act of operating a 2 ton vehicle at fatal velocities is not unlike the act of pointing a loaded gun at people in public, but promising not to shoot anyone. Now imagine that hundreds of millions of people do this, and hundreds of thousands screw up every year and injure or kill someone, generating billions upon billions in insurance claims.
If we treated cars like guns, keeping them securely locked in the garage at all times except a life or death emergency, and on every usage got law enforcement involved to investigate, then you could argue that you have a right to privacy as a car owner, just as a gun owner might. But once you endanger the public, whether by waving your gun around, or waving your car around, I would argue you give up that right.
If you don't want anyone to care what you do with your vehicle, just choose a less dangerous vehicle. Like your feet, or a bike. Then no one will much care what you do, where you go, or how you operate it.