While I thoroughly agree with everything you've said on the subject thus far...
How does being in possession of a picture, or any other biometric data, help? These data are reproducible, like any other attribute that supposedly identifies only-Alice.
Checking the possession of a picture is not biometry (that would be possession-of-a-picture-metry). Making a picture is biometry (measuring the body, essentially).
The hard problem with biometry is proving to a third party that a certain identity is responsible for a contract, but identification with biometry (convincing yourself that the person before you is the same person that you enrolled earlier) at least works a lot better than asking for essentially public information.