The situation with the JW gentleman objecting to he New Hampshire license plate slogan "Live Free Or Die" is similar to that of Islamic women who object to having their uncovered face photographed for driver's license pictures.
It boils down to a question of whether operating a motor vehicle is a right or a privilege.
American courts have consistently affirmed that it is the latter of the two and anyone who wants to operate a motor vehicle has a simple choice: Conform to the legal requirements or don't operate a motor vehicle.