There should be no Palestinian-controlled areas in Israel, and no Palestinian state (other than Jordan.)
The Jordanians for the most part don’t regard themselves as “Palestinian” either. There are the occasional radical politicians that assert either affinity for or claim the identity of “Palestinian(s)”, but nobody’s changing the name of Jordan to “the state of Palestine”. The notion of a Palestinian state is a deliberate declaration of war on Israel, and the ultimate goal is a pan-Arabic Caliphate.