ANPR has several problems - you need cameras on every street corner, it lets the government know everywhere you go, people can put false plates on their cars, etc.
(No, the government probably won't see any of those as a problem, but their opposition will...)
A GPS system could just measure distance traveled, not locations or any other data. The car could refuse to work if it doesn't receive a GPS signal that makes sense. If it's in a tamper-proof box then hacking it could be difficult enough that most people wouldn't bother.
So you don't trust plate readers, as the government can track you, but you believe that a GPS system will be used to ONLY measure "distance traveled, not locations or other data."
Do you have any basic understanding on how GPS type systems work?
The local telcos and cable providers will gladly service us for about $50/month, after we spend $60,000-$80,000 to trench to the area (after which everyone else* in the neighbourhood will get to piggyback). Oddly enough, we're not jumping at this...
Suggest you just sit there and wait till life gets easier.