Protecting ones privacy comes with the incidental side effect of making it difficult for society to penalize one for not abiding by the rules.
Bank robbers wear ski masks for similar privacy concerns.
Then society should do something about the invasion of privacy happening everywhere. Take Flock camera systems in Colorado as an example, Colorado has been trying to limit access to ALPR data to only municipalities within the state for immigration related cases. The state has even went as far as creating a law. Loveland police department gave federal officials (ICE, DEA, ATF) access to states ALPR data, completely bypassing the law on the books. Data like this has been weaponized and if you can't see it, not sure how I can help you.
You can also leave your cell phone at home. Disable anything broadcasting from your vehicle, like bluetooth, wifi, and onboard cell connectivity for telematics. Remove the RFID chips on your car rims (assuming you have a recent model vehicle). Remove TPM sensors from your wheels (A lot of them have part of your vehicle VIN in the packets). Tint your car windows... and remove anything that is unique, like stickers off your vehicle. Partially are completely block your license plate from being read by ALPR's.
Do all of those and you're not as trackable as you are not doing them today.