“I am not an expert on Islamic law, but it seems that the Muslims believe that Israel belongs to Islam because they had sovereignty over it throughout the Middle Ages. …., because we rebelled against the goyim who believed they had rights to the land, namely the Arab League in representation of Islam.”
We don’t live by sharia.
I just learned with my son last night the Mishnah in B”M that says if a deer is on your property but is running normally, you don’t have any claim to it (unless you can catch while it’s still on your property, which is not normally the case). In this case, we don’t recognize their looking at E”Y and saying “mine” Other mishnayot in that first perek also reinforce the fact that one must be koneh something with an action and not just say “I want it therefore it’s mine.”