I would like to know where the Islamists have accepted Israel's right to exist? Both the Hamas charter AND the PA charter call for the "killing of all Jews regardless of what stone they hide behind." That DOES NOT imply any recognition. Why don't you simply go to the PA's UN web site. Their charter is posted there. Or would that obfuscate your call for an end to Israel?
Palestinian stabs 3 police officers outside Damascus Gate, East Jerusalem (Haaretz)
from the article: Why Palestinians can't recognize a 'Jewish state'