Finally - in post 19 - MahgrebUnited mentioned the Vichy French. France already had colonies in Algeria and Lebanon. All Hitler had to do was reinforce Vichy forces in Lebanon because they were perfectly-placed to march across Syria and into Iraq. Iraq has plenty of oil and a fascist-leaning Baathist Party.
Baathists might be convinced to resume the traditional exile of Jews to Babylon, but only allow Jews to settle in the arid Western Dessert of Iraq where they would soon die of thirst.
Meanwhile, the Roman Catholic Church could revive Crusades of Frankish knights to reassert historical claims on various parts of the "Holy Land": Kingdom of Jerusalem, etc. Lebanese ports were excellent stepping-stones during the Crusade to "liberate" Palestine from heathen Moslems.
Nazi theologians could "modify" scriptures to portray Judaism as a dead-end on "the true path." Catholicism could be portrayed as another dead-end, along with the prophet Mohammed, with Martin Luther's Protestant Reformation as another well-meaning dead-end and with Hitler as the most recent prophet to steer the Aryan race to glory.
The Nazi Crusade would cheerfully recruit cannon-fodder from a variety of Arab tribes, but ultimately Nazi knights would wear the glory for "liberating" Palestine. Palestine is a mere stepping-stone to capturing the Suez l Canal and starving Great Britain from food, raw materials, etc. produced in her Eastern Colonies.
Nazi control of the Suez Canal would force WALLY ships to take the long route around South Africa exposing them to u-boat attacks over thousands of more miles.