Being licensed to drive is a bit of a different situation as you do have to demonstrate some kind of proficiency, but even still, the government practically has to keep track of this in some way and presumably, that way doesn't involve selling your personal info (if it did, there likely would be the same backlash).
I think that's a bit of a strawman, there exist solutions to this problem that decouple who reads the ID from the party that needs information about it, e.g. being above a certain age. Maybe it matters here how it's implemented, can that be regulated?
The only law involved is the one that penalizes them harshly if anyone underage manages to buy liquor. If fake IDs are less likely to pass that scan, maybe that's why they do it.
And neither of those 3 knows much about me other than I drive, purchase tobacco or alcoholic beverages. They don't know who my prom date was or who I worked for in 2012 or what movie I'm currently watching or where I eat lunch every day or what my religious beliefs are or where my political allegiances lie.