James Madison Congressional Accountability Act - Amends the Patient Protection and Affordable Care Act (PPACA) to extend the requirement for participation in the American Health Benefit Exchange (a state health insurance exchange created by PPACA) to the President, Vice-President, executive branch political appointees, and employees of congressional committees and leadership offices of Congress (currently, this requirement applies to Members of Congress and their staff). Prohibits any government contribution to or subsidy for the health insurance coverage of such officials and employees.