You forgot Lesson One: Definitions.
Here you missed "United States Person."
'United States person'' means a citizen of the United States, an alien . . . but does not include a corporation or an association, which is a foreign power, as defined in subsection (a)(1), (2), or (3) of this section.
Now go read "association" definition, which basically includes Al Quada members.
LOL Now you are making the law up as you go along.
If a United States person is involved a United States person is involved. Being part of an association does not preclude being a United States person.