There shouldn't be.if you had a black diplomat passport thats different
Usually Official passports (Red No Fee) get you nothing except extra scrutiny. The VISA requirements are usually more stringent (you can find the requirements for entry with official passports on the State Department webpage). And in general I've been told its a bad idea to try to enter with one passport and leave on another. Again just invites scrutiny. The Red passport got me the extra super deluxe grilling at TLV.