BTW, discovering the site of Herod's Temple does not necessarily reveal the site of Solomon's Temple.
WHAT? Which Bible did you get that misinformation from, The Islamic Version? Of course the 2nd Temple was built EXACTLY where Solomon's Temple was built.
http://www.gamla.org.il/english/article/2003/sept/win1.htm
Past myths are claimed today as historical fact in the mill of Muslim historical Revisionism. For example, in 683 CE Caliph Al-Walid built "Al Aksa" Mosque over a Christian church located on the Temple Mount, the site of the Jewish Temple, built by Solomon - 60 years after the death of Mohammed. Caliph Al-Walid named his Mosque "al Aksa" after a mythical dream that Mohammed supposedly had that: Mohammed flew to a place called al Aksa (which means the furthest place) on his great white horse with wings, the breasts of a woman and the tail of a peacock. The word al Aksa (as the furthest place) referred either to Medina or the courtyards of Allah in Paradise. This was the rationale offered by true Arab scholars in attempting to explain the basis of a mythical dream supposedly experienced by Mohammed.
In 685-705 CE the Umayyad Caliph Abd-el Malik built the Dome of the Rock, also on the Temple Mount, Mount Moriah. (It is now called the "Golden Dome" after it was covered with gold by the King of Trans-Jordan.) This Caliph, who lived in Damascus, wished to be viewed as Mohammeds heir. He attempted to re-direct the Islamic compass away from Mecca towards Jerusalem and his sphere of religious/political power. The political thrust of all this was that Islam continued to ignore Jerusalem as a non-entity and continued to worship toward Mecca. However, the myth was created among the (uneducated) Muslim/Arabs, that, by right of conquest, they owned the Temple of the Jews which existed as Solomons Temple of the Jews for thousands of years before Mohammed and Islam. However, the myth took root among the Muslims - as history was pushed aside.
That childish myth has become factual history, as the Arab/Muslims claimed the Jews most holy religious site, built thousands of years before Christianity or the beginnings of Islam. But, the West oohs and aahs as the Mullahs babble about their non-existent history, harking back to the Philistines (a warlike tribe of Phoenicians who came to the sea coast of Eretz Yisrael) and other tribes long gone.
Al Aksa Mosque was not considered a true holy site of Islam until Saladin, the Kurdish warrior in the 12th Century needed an excuse to attack the Christian Crusaders who had taken Jerusalem. Saladin then claimed Mohammeds dream of Al Aksa was the Mosque built on top of the Jewish Temple and, therefore, holy to Islam. But, their claims are accepted today as if they were not a backward, uncivilized culture but, an advanced society of great thinkers and, therefore, worthy of being taken seriously. The media has been provided numerous times with the scholarly history of the Jewish Temple but, they prefer the mythical version created by the Muslim/Arabs.