You are confusing the E-3 with the E-4.
E-3 is the airborne warning and control system used to ‘control’ the air battle. http://www.af.mil/AboutUs/FactSheets/Display/tabid/224/Article/104504/e-3-sentry-awacs.aspx
E-4 is the SHTF flying nuclear command post. http://www.af.mil/AboutUs/FactSheets/Display/tabid/224/Article/104503/e-4b.aspx
And no, Saudi AWACS would not be controlling anything. Saudis are inept and hardly can fly the thing, let alone properly use that asset. Besides, it is hardly reasonable to expect Israeli’s would actually TRSUT the Saudis.
I looked it up and still got it wrong!