This Federal Law allows the States to demand that you give them a Social Security Number to get a drivers license.
U.S.C. TITLE 42 Section 405
(vi) For purposes of clause (i) of this subparagraph, an agency of a State (or political subdivision thereof) charged with the administration of any general public assistance, driver's license, or motor vehicle registration law which did not use the social security account number for identification under a law or regulation adopted before January 1, 1975, may require an individual to disclose his or her social security number to such agency solely for the purpose of administering the laws referred to in clause (i) above and for the purpose of responding to requests for information from an agency administering a program funded under part A of subchapter IV of this chapter or an agency operating pursuant to the provisions of part D of such subchapter.
(vii) For purposes of this subparagraph, the term ''State'' includes the District of Columbia, the Commonwealth of Puerto Rico, the Virgin Islands, Guam, the Commonwealth of the Northern Marianas, and the Trust Territory of the Pacific Islands.
(viii)(I) Social security account numbers and related records that are obtained or maintained by authorized persons pursuant to any provision of law enacted on or after October 1, 1990, shall be confidential, and no authorized person shall disclose any such social security account number or related record.