Military Base Security Act - Requires the Secretary of Defense to develop a pilot and demonstration program in New Jersey, and in one or more additional States or regions, to develop and explore policies, procedures, and practices that improve the level of security, reliability, quality, and economic efficiency of defense contractors and subcontractors used for construction, renovation, maintenance, and repair services on military installations. Directs the Secretary, as part of such program, to review: (1) security clearance procedures; and (2) contracting and procurement procedures.