Aadhaar has the same data that your US birth certificate has. Name/DOB/gender/Address-if-available. Unless I'm mistaken everyone in US has a Birth Certificate.
EDIT IN RESPONSE TO YOUR EDIT
An birth certificate is also an ID. There's no rational reason of being proud of not having a national ID, when you have mandatory birth registrations and birth certificates.
If anything Aadhaar store less information than your BC - no record of who your parents are for example.
EDIT IN RESPONSE TO YOUR EDIT
An birth certificate is also an ID. There's no rational reason of being proud of not having a national ID, when you have mandatory birth registrations and birth certificates.
If anything Aadhaar store less information than your BC - no record of who your parents are for example.