The rights on the land- by birth?

Jews and Muslims claim their right on the holy-land.
Jews base their right on historical facts that has no serious scholars to doubt about their ancestor's origin and the continuance of the Jewish settlement since. The fact that all three Monotheistic religions confirms it in the historic evidence only makes this claim more evident.

Muslims trust the fact that there are a lot of Muslims in the Middle-East and what seems to be a continuance of Muslim/Arab habitat in the area since the Profit Mohammed, peace be upon him, about one thousand and three hundred years ago.

The funny thing is that most Jews are not posing any claim for exclusive ownership on the holy-land although they have the military power to impose one while the Arabs want a "Jew-free Palestine". Surely with no access to the holy places.

Another interesting note is the historic and anthropological fact that till about 1860, the holly-land was a bare land with barely any people living in it. Most of the areas of the Galilee and north of Jerusalem were Aramaic speakers and Samaritans that either converted to Islam later or kicked out of the place.
With the new opportunities opened up in the area, waves of simple employees immigrated from other Arab countries and created what today we call "The Palestinian People."

Either way, any claim of those newly coming immigrants for any territorial demands on Israeli land will be properly answered with a Jewish claim over land that was inhabitant by Jews centuries before any Arabic speaker was present.

An old Jew who came to Israel from Iraq once told me that his family was in Iraq since Babylonian times. Two Thousand Five Hundred years ago (!!!). Much earlier than any of the Arab speaking Jahilia even were known anywhere.

How strong any "Palestinian" claim on the land of Israel is?
about 5% as strong as this old Babylonian Jew on Bghdadi land.

And please correct me if I am wrong.. I dare you.