here's what we have: a way to identify every almost every American by their face, identify almost every American by their name and birthdate, identify every American invasively (like via a blood draw), lots of documents at the national level that we can compel people to have for various activities that are practically required for living. we don't, narrowly, have a document, that you can force everyone to have, in a very peculiar interaction, where someone can be like, "you're going to jail unless you produce this document," and you're not driving, you're not crossing a border, you're not etc. etc.
so do we need a constitutional amendment? i guess if enough people perceive that we do.