Before joining the effort, the US mostly supported by providing weaponry and technology. An example would be giving Britain ships and improving their naval forces. This was against their policy of isolationism so naturally the axis forces were angry.
Answer:
No one has it or ever will.
Countries part of the fertile crescent include Iraq, Syria, Lebanon, Cyprus, Jordan, Israel, Palestine, Egypt, as well as part of Turkey, and western Iran.
As shown above, Saudi Arabia is not part of it, and so your answer is:
No, Saudi Arabia is not part of the Fertile Crescent
hope this helps