The Koran itself gives us the evidence of the destruction of the two Temples that had stood on the site of Al-Aksa.

This is a statement by Stephen Rosenberg, who is a fellow of the W.F. Albright Institute of Archeological Research in Jerusalem. Rosenberg quotes from the prophet Muhammad´s night journey.
Surah 17:
«Glory be to Him who made His servant go by night from the Sacred Temple [Mecca] to the farther Temple [Al-Aksa, Jerusalem], whose surroundings We have blessed… »
It goes on to say,
“We solemnly declared to the Israelites: Twice you shall commit great evil in the land… and We sent against you a formidable army which ravaged your land… and when the prophecy of your second transgression came to be fulfilled, We sent another army to afflict you and to enter the Temple, as the former entered it before»
The Koran itself gives us the evidence of the destruction of the two Temples that had stood on the site of Al-Aksa. Nothing could be clearer.
What evidence is there that a Jewish Temple was destroyed by the Babylonians?
There is a tablet in the British Museum that Nebuchadnezzar came to Jerusalem in his seventh year (597 BCE) and captured the city, but he destroyed no temple and only set up a «King of his own heart» (Zedekiah). The tablet goes up to the year 594 and then stops. The following years are missing and the next tablet restarts in 556 BCE. The crucial year 586 is lost.
But what about the great stones of the Temple compound, still visible today all around Haram al-Sharif, in the lower courses of the Western Wall and elsewhere?
Only Herod could have forced men to move such megaliths. Well no, the propaganda goes, after the Romans conquered Jerusalem, they had to set up their temple to Jupiter, and thus built this vast platform as its base. The Roman builders were the equal of Herod when it came to monumental structures, just look at the temples of Baalbek. And there is nothing on the Temple Mount to indicate that a Jewish Temple ever stood there.
The historian Josephus mentions that there was a stone at the southwest corner of the Temple Mount from which one of the priests would blow the trumpet on Friday afternoons to announce the start of the Sabbath. That stone has been found, with the Hebrew inscription «Lebeit hatekia»(to the place of trumpeting). No such stone would have graced the corner of a Roman temple.
Furthermore, the existence of the Second Temple is made clear from the New Testament and the stories of Jesus within the Temple complex. But then, the Islamists would say, those Christian documents were also written by Jews, maybe by Jews with a new belief in a savior. But still Jews who needed to aggrandize the miracles of their messiah in the context of his Jewish past.
Source: Jerusalem Post.
The farther mosque is NOT in Jerusalem. Mo never went to Jerusalem. Even if he had there were no mosques there until long after he died. Muslim scholars know this but more recent Islamofascist jihadists have corrupted their scriptures to steal from the Jews. The Koran in 5:20-21 clearly states that Israel belongs to the Jews.