The easy solution to this is to invent removeable license plate covers. So long as your vehicle isn’t moving and you aren’t behind the wheel, the plates don’t have to show. You can cover them all you want.
Another solution would be to just wait for the cost of the technology to get low enough so that everyone has one on their car. Kind of like the dash cams which started in police cars and are now $99.00 on Amazon. Once enough people have them the data stream from all of the civilian cameras will generate nearly perfect real time tracking of every vehicle on the road - including the ones which come and go from government offices every day.
Then the public can use the data as they see fit. Maybe you'll get ads on your browser suggesting new places to shop along your common routes, or maybe you'll just want to look up where all the road construction is happening at that moment, or if you are anywhere near folks you know who are also out in traffic.