> Required by: Sections 214-216 PATRIOT Act of 2001

I looked at these sections, and they do not require the states do anything, nor contain any sort of reference to library cards.

Besides, I don't think they have the authority to order states to collect library users' information, and then compel them to divulge this information to federal authorities, in a blanket manner.

There is a limited set of enumerated powers listed Constitution (and the Tenth Amendment restricts all power to these enumerated ones), and nothing in the Constitution grants the sort of authority that would allow such interference in state-owned state-run public libraries.