People who have vowed to eliminate each other for thousands of years placed in the very same small corner of the world.

What are you talking about? Historically, the Muslims were tolerant of the Jews, and in fact treated them much better than they were treated by Christians in Europe. If the Muslims had been truly interested in eliminating the Jews, surely they would have managed it long before the Europeans got around to their later, more effective period of meddling in the Middle East.