Oh, I just remembered that Obama DID issue an Executive Order closing Guantanamo Bay. Jan 22, 2009. His first E.O.:
Sec. 3. Closure of Detention Facilities at Guantánamo. The detention facilities at Guantánamo for individuals covered by this order shall be closed as soon as practicable, and no later than 1 year from the date of this order. If any individuals covered by this order remain in detention at Guantánamo at the time of closure of those detention facilities, they shall be returned to their home country, released, transferred to a third country, or transferred to another United States detention facility in a manner consistent with law and the national security and foreign policy interests of the United States.