You've just rediscovered the premise of David Eggers's The Circle

https://en.wikipedia.org/wiki/The_Circle_(Eggers_novel)

Maybe not Google specifically, but I'd love it if the industry got involved in this somehow. Maybe a standards group like the Internet Engineering Task Force or the FIDO Alliance to work out the spec.

I'd commented to the same effect earlier on Google's own Identity Service: Google+.

I think Google's dropped the ball, badly, on identity and authentication (though they're ... making some movement with physical 2FA).

I've got massive misgivings myself about private tech firms getting into this space, though I do think they might have useful elements to add by way of suggesting protocols and standards. And I'd be really suprised if various majors aren't part of the discussion. Google, Facebook, Microsoft (remember Passport?), Oracle, IBM. And databrokers such as ADP. Plus banking and financial institutions, who've mostly created the mess....

An Apple ID card would be a lot less dystopian. (And would look cooler).