Alright, I will accept that what you say about license plate data is true (though I know there remains ongoing debate about it, IANAL so I cannot claim to know anything more).
That gets you as far as distributing the license plate, location, and time. But if you combine that data with other non-public data, then it is no longer a First Amendment protected use.
As an aside, if we cannot figure out a way to make this fit with the First Amendment as written today, we need to make updating that a priority already. The founders had no idea that we would end up with computers and cameras that could automatically track every citizen of the country with no effort and store it indefinitely. "No reasonable expectation of privacy" rests on a definition of reasonable that made sense in the 18th century. Our technological progress has changed that calculus.
> As an aside, if we cannot figure out a way to make this fit with the First Amendment as written today, we need to make updating that a priority already. The founders had no idea that we would end up with computers and cameras that could automatically track every citizen of the country
This is a commonly echoed sentiment for the Second Amendment too ("These idiot founders! They could never have imagined so much individual power - We need to take rights away!"), and I am in hard disagreement for both.
I cherish the fact that our legal system is so intentionally slow that these types of "progressive" efforts to reform the Constitution are basically impossible.