No Contracting with the Enemy Act of 2011 - Requires the Federal Acquisition Regulatory Council to amend the Federal Acquisition Regulation (FAR) to prohibit the awarding of a federal contract to an enemy of the United States and to provide that any such contract shall be null and void and may be immediately terminated or rescinded. Extends similar prohibitions to subcontracts. Defines "enemy of the United States" as any person or organization determined by the Secretary of Defense or State to be hostile to U.S. forces or interests or providing support to any person or organization hostile to U.S. forces or interests during the time of a declared war, peacekeeping operation, or other military or contingency operation.