You know what? I was going to blow that off as semantic but it bugged me.
On the one hand - your basic argument is that driving comes with rules, which are governed by the state, and therefore is not a right but a privilege. The underlying fact is indisputable. Driving does require following rules, and no one was claiming otherwise. So at this point, okay - you prefer to use the word "privilege" in cases where there are extensive rules and regulations. There are other people who would note that "some rights come with responsibilities" and use "privilege" to talk about things normal people don't get to have, like "class privilege" or "it's my privilege to hand out this oscar award..." or whatever. But it's just words, and there's not much point in debating the semantics when the underlying facts remain the same.
On the other hand - the entire basis of post-enlightenment, rationalist thinking and western civilization is tied directly to the realization that we could even have a thing called rights if we built a society around reason and natural law, and specifically rejected rule by kings and clergy, for whom "privileges" meant special grants and permissions to people favored by the ruling classes.
It was a big deal when people recognized that we could have something called a right to life if, and only if, we hold people responsible when they kill. Same for when we established that we can have a right to property if we hold people responsible for not stealing or destroying others' property, or a right to equal protection under the law if everyone takes responsibility for both following the law and participating as citizens. As I understand it, the philosophical and linguistic roots of the distinction between a right and a privilege is built into that history. Rights were built on the ideas of rationalism and natural law, privileges were built on the idea of special favors from authoritarians.
To my mind, the rules of driving are not arbitrary, they are necessary in order to minimize the risk of people killing and injuring each other in traffic accidents. For that reason, I am perfectly fine with with states sanctioning drivers who fail to live up to the responsibilities required to make driving possible. But I also prefer the semantics of calling it a "right," because the rules should be reasoned and founded on the physical requirements of allowing people to drive, rather than a "privilege" which historically ties to the idea of special favors from authoritarians.
... but that is, strictly speaking, still just a semantic preference on my part.