Another cop's opinion - Federal law may guarantee the public use of roads (haven't read over it personally) and state law is required to adhere to federal laws as a whole. However, states can add more specific/strict laws under the umbrella of federal law (i.e. federal law says you can drive on the road, but _______ state says to do so, you must have a valid driver's license) and it not be a violation of civil rights. It's like Tennessee law says 'drunk driving' is classified by driving with a Blood Alcohol Content over 0.08%, but I've heard of states having lower standards (as low as 0.06% I think). May vary from state to state, but I know if revoking/suspending someone's license were a violation of any state or federal law we'd have heard about it by now. As far as the case law being quoted, you do have the right (if you have a revoked/suspended license) to acquire what is called a restricted license, granting you the ability to carry out necessary functions such as driving to/from work, grocery store, hospital, etc., thus covering a person's basic needs. Its like the fact that if we ever have a war break out on American soil (which may happen sooner than we would have expected 20 years ago) interstate travel will be shut down to all civilians and set aside solely for military purposes. I don't know where that's written, but its one of the things mentioned by a local District Attorney during our civil rights classes in the police academy. I tend to ramble don't I...
One more thing to add, you can poke holes in the whole 'its a right to everyone' argument for various safety concerns, but one that comes to my mind would be the risk of the mentally handicapped driving. If you extend it as just a flat out constitutional right, then its promised to ALL Americans, thus including those that can barely function on their own. Sure some handicapped are able to drive and I'm sure they do it well, yet there are others that are functional enough to live on their own but may lack the hand/eye coordination necessary to drive, but given the opportunity to drive they may not have the presence of mind to realize they can't do it safely. Thus one of the many reasons you have to prove you can operate a vehicle well enough to be licensed before you can legally drive on public roadways.