If you have a security clearance then the FBI has every right to test you. If you have knowledge of classified information, of course they will monitor/test you. The knowledge these people have is what makes America the super power she is today.
U.S. to deliver 8 advanced F-16s to Egypt on July 30-31, U.S. embassy in Cairo says (Reuters)
from the article: U.S. arrests ex-NASA scientist over bid to spy for Israel