What's at issue here is not recognizing Israel, something that apparently already happened.
It's recognizing Israel as a Jewish state, something that neither Egypt nor Jordan was required to do to make peace.
Indeed, it's not entirely clear whether the US recognizes Israel as a Jewish (or the Jewish) state.
Israel has offered a one state solution in which so-called Palestinians become citizens of Israel. How is this a requirement that Israel insists it be recognized as a Jewish state? This is just more double talk by deceivers and their useful idiots.