http://rabbikaganoff.com/archives/1536
...Virtually all opinions agree that it is a Torah prohibition to offer korbanos anywhere in the world except for the designated place in the Beis HaMikdash [Temple] called the mizbeiach [altar]...
In THAT case, since the Temple Mount is the undisputed Place for This, and the Jewish Claims to it PREDATE the muslim claims, and are supported by both Scripture AND Archaeological Evidence, I would say that the choice should be rather obvious.