If a person does not (and does not want to) drive, how do they identify themselves? Where I live, everyone gets a government issue ID card, and the ID number is the citizen's primary key. Our government is still largely paper-driven, but there's little you can't get done if you show up in person with your national ID.
Driving licences are also the primary form of ID in the UK (alongside passports, which are more expensive). People who can't (or don't) drive can still get a provisional licence, which only allows driving under the supervision of an appropriate adult but works exactly the same for ID purposes.
Every state in the US has some form of non-driver ID. They call them different things - but they're still usually administered by the state's DMV, since that's the office that is equipped to deal with identification procedures anyways.
In the US we don't have a standard form of national ID.