The Jerusalem temple site spent nearly seven hundred years as a literal garbage pit. There was never any effort to reclaim it, even during those periods where the Byzantines were Jew-friendly. When 'Umar took Jerusalem, the site was cleaned up, and construction began on the current mosque and shrine. At no point from that point until the fall of the Ottoman empire, did there seem any interest in reclaiming the temple as such. In fact even after the fall of the Ottomans and large Jewish immigration, even after the foundation of Israel and their occupation of Jerusalem, interest in "reclaiming the temple" as such was pretty much nil. Thus why the peace treaty with Jordan writes the complex off to Jordanian waqf control.
After all... if there's no Aron haBrit, there can't be much of a temple. Judaism essentially moved into a new era, and Temple Judaism went extinct as a religious practice.
There's now a big skyscraper on the site of the Great Warsaw Synagogue. It looks like a giant smurf's dick.
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