they laughed and told her they know me because my name frequently pops up on their license plate readers.
Apparently, it's even worse than that. Turns out, license plate readers are just cameras with software that recognizes text (like the numbers on your plate) and they create huge, searchable databases for the companies that sell/lease them. A lot of them are mounted on police cars now, hoovering up whatever they see. And that's not just license plates. They also scan your bumper stickers and any signs or other roadside items in their field of view. It all goes into the database, along with the location and time.
Seems like the possibilites for abuse are endless. Here's a good idea! Let's require everyone to buy a permit to drive on unpaved roads. It could be a big sticker to put on your bumper. Then it's simple to scatter license plate readers around the state forests. No need to hire more park police - or anybody else - it can all be outsourced. No permit? It automatically issues a ticket (they already have your plate number). Also creates a big database of everybody who drives on that road, for the next time they find a body in a refrigerator and need some suspects.

Actually, that's nowhere near as scary as some of the other things this technology might be used for...

License Plate Readers Are Creating a US-Wide Database of More Than Just Cars
From Trump campaign signs to Planned Parenthood bumper stickers, license plate readers around the US are creating searchable databases that reveal Americans’ political leanings and more.