The reason the palestinians try to claim Hebron as their own, just as they try to claim Jerusalem as their own, or the Temple Mount as their own is really quite simple.
They have nothing of their own to claim. They have no ancient history in the Land of Israel. They have no tombs of ancient palestinian forefathers. They have no archaeological evidence of palestinian cities or temples. They have no books or songs or literature. They have no documented reference of anything. Even Jerusalem is not mentioned ONCE in their Koran.
It’s true there are a people now who have come to be known as the palestinians, but this is a recent event of just a few decades. Prior to 1948, the only reference to palestinians was when talking about the Jews, who were known as palestinians then. There is even a recorded soccer match between Australia and Palestine in 1939, where all the team members of the palestinian soccer side were Jews! The Arabs who were living in the palestinian mandated area, were simply known as the Arabs.
All these efforts in the UN and UNESCO to claim Jewish holy sites is for two reasons alone:
1) To deligitimize the history of the Jews to the Land of Israel and sever their ancient connection.
2) To supplant that well documented history and replace it with a fictitious fairy tale giving some kind of historical legitimacy to a people who didn’t exist in a country that never was.
The support they receive in these world bodies has got nothing to do with historical accuracy and everything to do with attitudes towards Jews.
There is a reason that the new palestinian museum sits atop a lonely hill, quiet and empty, where the only sound that can be heard is the whistling of the wind as it dances around the empty spaces and empty hallways.
There is nothing to show, because… well… there is NOTHING to show.