Yes, Zach, There Really Were Two Temples

From the CAMERA's Snapshot blog posts, I learned this:

Another issue is Dorfman’s statement that “Jews believe the Temple Mount, where the mosque now stands, is where the two great Jewish temples were once located.” The statement that “Jews believe” that the Temple Mount is the location of the two ancient Jewish Temples implies that this is something that is legitimately in question, something that can be subjectively believed or not. In fact, as CAMERA has noted in the past, there is ample archaeological evidence of the Temples, and there are “no credible scholars who question the existence of the two temples or who deny that they stood somewhere on the Temple Mount.”

Dorfman is Zach Dorfman, a Senior Fellow, Carnegie Council and his piece appeared in The Atlantic.

That two temples existed on Mount Moriah in Jerusalem is quite correctly not a matter of belief but of evidence from Jewish and non-Jewish recorded history as well as physical archaeological findings.

Even Haaretz knows that:

The preponderance of archaeological and historical evidence is overwhelming and the argument that there is 'no proof' of the Temples is a modern political artifact...A Brief Guide to al-Haram al-Sharif," published in English by the Supreme Muslim Council itself in 1925, states: "The site is one of the oldest in the world. Its sanctity dates from the earliest (perhaps from pre-historic) times. Its identity with the site of Solomon's Temple is beyond dispute...".

and

"Two copies of inscriptions prohibiting the entry of nonbelievers to the Temple have been found on Temple Mount, which Josephus wrote about. These inscriptions were on the dividing wall that surrounded the Second Temple, which prevented non-Jews from accessing the interior of the [Temple] courtyard," Barkay says, adding that both were written in ancient Greek. The "warning" stone, which is at the Istanbul Archaeological Museum, warns non-Jews of the perils of entering the sacred Temple. There were additional, similar inscriptions in Latin, he says. Another inscription in stone, "To the trumpeting place," was found in 1968 at the southwest corner of Temple Mount. "It is known that trumpets were blown at the corners of Temple Mount, to declare the advent of Shabbat and other dates," Barkay explains."

There is this from last year reported all over the world:

An incredible new discovery at the Temple Mount has produced the first-ever physical and archaeological evidence that the Jewish Second Temple stood on the Mount 2,000 years ago, upsetting Arab claims, increasingly endorsed by the international community, that the Temples never existed.Archaeologists from the Temple Mount Sifting Project, salvaging artifacts from Muslim destruction at the Temple complex, have completed the restoration of ornate floor tiles which experts believe likely decorated the courtyard of the Second Jewish Temple. The project provides visible and incontrovertible proof, backed up by ancient texts and historical context, of a Jewish Temple on the Mount.In total, archaeological teams have uncovered approximately 600 colored stone floor tile segments, with more than 100 of them positively dated to the Herodian Second Temple period (37-4 BCE).

A fair review at the Smithsonian.

A short list:

DKA LYH seal
High Priest Golden Bell
Miqvaot
Herodian Architecture Eastern Wall’s section from the First Temple Period
First Temple Period refuse pit at the eastern slopes of the Temple Mount
First Temple Period assemblage found in Waqf electrical wire trench
Water cistern at the southeast corner of the Raised Platform

P.S.  On second thought you could have written 

Muslims today believe that the Temple Mount, where a mosque now stands, did not contain the two great Jewish temples despite archaeological evidence confirming their existence.

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