> There is only two things upon which both Jews and Islamists agree: It’s one country and it’s theirs. <
Yep. An old saying: Every problem has a solution. Well, that saying doesn’t apply here. There are simply no (reasonable) solutions. The Muslims are now way too radical.
So it’s either endless war or one side will annihilate the other.
The Muslims are now way too radical. By our standards, maybe, but native Islam has always been that "radical." So is native Judaism. From Deuteronomy 12:
5 But you are to seek the place the Lord your God will choose from among all your tribes to put his Name there for his dwelling. To that place you must go; 6 there bring your burnt offerings and sacrifices, your tithes and special gifts, what you have vowed to give and your freewill offerings, and the firstborn of your herds and flocks. 7 There, in the presence of the Lord your God, you and your families shall eat and shall rejoice in everything you have put your hand to, because the Lord your God has blessed you. 8 You are not to do as we do here today, everyone doing as they see fit, 9 since you have not yet reached the resting place and the inheritance the Lord your God is giving you. 10 But you will cross the Jordan and settle in the land the Lord your God is giving you as an inheritance, and he will give you rest from all your enemies around you so that you will live in safety. 11 Then to the place the Lord your God will choose as a dwelling for his Name-there you are to bring everything I command you: your burnt offerings and sacrifices, your tithes and special gifts, and all the choice possessions you have vowed to the Lord. 12 And there rejoice before the Lord your God-you, your sons and daughters, your male and female servants, and the Levites from your towns who have no allotment or inheritance of their own. 13 Be careful not to sacrifice your burnt offerings anywhere you please. 14 Offer them only at the place the Lord will choose in one of your tribes, and there observe everything I command you. The above is read annually in every Synagogue. That "place I shall appoint" where G_d "will put my Name," is now occupied by the Dome of the Rock. The world has been acting out that prophecy against ever since the promises of Genesis 16:10-14.
To my mind, the "god" of Hagar was Satan himself. There is no earthly solution, and never has been.