That would require a renegotiation of the TRIPS Agreement and the Berne Convention with the rest of the countries of the WTO.
https://www.wto.org/english/tratop_e/trips_e/ta_docs_e/modul...
(iii) Automatic protection A key feature of the Berne Convention, and thus also of the TRIPS Agreement, is that copyright protection - unlike most other forms of IPRs - may not be subject to any formality of registration, deposit, or the like. This principle is contained in Article 5(2) of the Berne Convention, that has been incorporated into the TRIPS Agreement.
So? Of all the aggressive things the US forces upon the world (or just unilaterally does, ignoring agreements), undoing its own bad policy would be a drop in the bucket, and would be doing some good for once. I'm sure if we just did it, others would respond tit-for-tat and require registration of our material, and then mission accomplished.
(And at the end of the day, sovereign people are never required to do anything. The concept of international law is an oxymoron)