I may be understanding this ruling incorrectly, but it appears that a Supreme Court ruling says otherwise.
"The right of a citizen to travel upon the public highways and to transport his property thereon in the ordinary course of life and business is a common right which he has under his right to enjoy life and liberty, to acquire and possess property, and to pursue happiness and safety. It includes the right in so doing to use the ordinary and usual conveyances of the day; and under the existing modes of travel includes the right to drive a horse-drawn carriage or wagon thereon, or to operate an automobile thereon, for the usual and ordinary purposes of life and business. It is not a mere privilege, like the privilege of moving a house in the street, operating a business stand in the street, or transporting persons or property for hire along the street, which a city may permit or prohibit at will." Thompson vs. Smith, 154 S.E. 579 at 583
have you read that case? It really needs to be read with context. Then you will see where it is not the argument you were hoping for.