Well then, tied up with the fact that the al-Aqsa Mosque and the Dome of the Rock are both Islamic sites, there are also some rather moot points that must be made about the Qu'ran:

The Qu'ran endorses the Torah's assertation that the land belongs to the Jews:
We (Allah) made a weak people (Israelites), inheritors of lands in both east and west - lands whereupon We sent down Our blessings. This fair promise of thy Lord was fulfilled for the Children of Israel, because they had patience and constancy - Quran 7:137

But it also suggests that they must be killed:
Kill disbelievers wherever you find them. If they attack you, then kill them. Such is the reward of disbelievers. (But if they desist in their unbelief, then don't kill them.) - Quran 2:191-2

And Muhamed himself reiterated this:
You Muslims must fight the Jews till some of them hide behind stones. The stones will betray them saying...There is a Jew hiding behind me; kill him - Sahih Bukhari 4:5:176, 177

So then, we have two groups of people who would both claim the land under religious grounds and one one them who are directed in their scripture to kill the other lot.

And you think that there's a solution to this? Sorry, but I wager that this is impossible.