Facebook now requires your Social Security number to buy political ads
money.cnn.com
money.cnn.com
State actors more than likely...
1. have access to giant databases of Americans' personal info (including SSNs),
2. the ability to forge a genuine-looking fake ID (or photoshop a photo of one), and
3. the ability to conduct a well-timed mail-theft (American mailboxes are notoriously insecure, and they could use USPS Informed Delivery to know exactly when to do it).
I don't think these procedures will be effective against any of the entities that matter.
Not even that. The same credentials needed to buy an ad could also buy a PO box for a trivial fee