The private sector has long ago made it necessary to have driver licenses or other picture id. I think the horse has already left the barn on this issue. What people would not of allowed any tyrant to do, they have willingly allowed business to do. Now as a businessman, I am not complaining since criminals would eat you alive if you couldn't require identification. Just try and function without a social security number and a picture id. Beyond those things every time you borrow money to purchase anything you encounter the credit bureaus which collects information on people more efficiently then the wildest dreams of any secret police. Computers make it easy for the police to check a persons history with the law in mere minutes based on driver license numbers. While it is still possible to drop off the radar, by setting up straw identities, paying cash and bartering for everything, you could do that even if they had a national id card. If you want to tighten security don't issue driver licenses or state picture ids to illegal aliens.
The reason that people have accepted the state drivers license is that because you are closer to your state goverment than the federal government therefore you have more control over them and are more able to stop gross violations of your rights.
The Constitution does not permit the federal government to force you to show papers as you go about your life. The 4th amendment says all your papers are secure against illegal search and seizure, which includes illegally requiring you to show them to anyone. If you grant the federal government this kind of control out of ignorance of individual rights, or because you want the federal government to become even more powerful, your rights will become more and more tenuous and harder and harder to preserve. This idea shows that Americans are quite willing to throw away their legacy of freedom apparently because they are unwilling to do their civic duty and elect individuals to the federal the federal government who will protect their individual rights and enforce the borders of a sovereign nation.