In a world where ubiquitous ID verification is required, you can just, like, mandate that stores with liquor licenses sell them. If they want to keep their licenses, that is.

A simple law against linking those two pieces of information would be sufficient. Sure, someone like the NSA wouldn't give two shits about what's legal, but they also wouldn't have the means to clandestinely get the necessary hardware installed in every one of the million stores that exist in the country.