Unfortunately the drivers license is becoming a defacto national ID card in the US. So interacting in the economy at large is becoming mroe and more difficult without having to resort to a drivers license or state id card (of which I don;'t have either one).
Now as to the accuracy of a photo id for identification. I used to work in a bar and have seen a large number of drivers licenses. Most of the photo's only vaguely resemble the person. It is usually easier to spot the fake id's that are made because the photo's resemble the carrier too much. Photo id's are a waste because the pictures are too small to allow most people to recognize the person.
All this means is that the woman should be allowed to carry a photo id with her veil on since it won't make any difference anyway.
Final caviat: I think she should be disallowed a Drivers License since I think 90% of the licenses in the US should be revoked anyway, I am unsure about the remaining 10% of licensees.
