Driving a car on a public road is a public, social act, which requires licensing and abiding by numerous rules.
A license plate is a token of registration in a public database, required to be displayed. Registration is required because people can cause enormous harm with a vehicle directly, and also use a vehicle for fleeing from the scene of a crime. Not to mention that vehicles can be stolen.
If license plates are private information, then I'm violating privacy by writing down the license plate of a vehicle that is fleeing from a hit-and-run.
Bull. Fucking. Shit.
If you want a vehicle that lets you go wherever you want and do whatever you want without being identified by your vehicle, use a scooter or bicycle or any other unregistered, unlicensed form of transportation.
If you can't get me to care about this "privacy" issue, your narrative is screwed, because I'm in a vehemently pro-freedom libertarian demographic.