Wishful thinking. The AFOSI only has jurisdiction over AF military and civilian personnel.
Mission (from AFOSI website)
The Air Force Office of Special Investigations provides professional investigative service to commanders of all Air Force activities. AFOSI identifies, investigates and neutralizes criminal, terrorist, and espionage threats to Air Force and Department of Defense personnel and resources. The command focuses on four priorities:
Detect and provide early warning of worldwide threats to the Air Force;
Identify and resolve crime impacting Air Force readiness or good order and discipline;
Combat threats to Air Force information systems and technologies; and
Defeat and deter fraud in the acquisition of Air Force prioritized weapons systems.
(Sounds pretty broad to me)