The simplest solution would be a disassociated ID card with a 2 or 3 factor identification (eye scan, fingerprint, etc.). Except this requires everyone to register and isn't going to gain widespread support in the U.S. for privacy reasons.
Info security just needs multiple factors, so require SSN and then an RSA-type second-factor to authenticate. This would make it about as secure as GMail, except for when you lose your PIN generator. I have backup codes for my GMail... How do we handle lost PINs when it's personal ID at stake?
Identification could be as simple as a personal e-mail address... Except we have all kinds of things tied to SSN as ID, including credit history, bank loans, etc. that require proof of individual identity, not just "unique identification".
Is this a solved problem?