Even they contradict the eye witness account of Josephus. The wall was part of the temple. There is no way around it.
The Wailing Wall is actually the remains of a Roman fortress called “Fort Antonia” built north of the actual Temple where no protruding rock ever existed but rather was built upon the Gihon Spring.
The rock upon which the Dome of the Rock was built adjoining the Western Wall was actually the centerpiece around which Fort Antonia was built. There’s nothing sacred about this rock or this Wall.
This is attested to by the eyewitness, Jewish historian Josephus, who also wrote in his “Jewish Wars” that
the Romans left nothing above or below ground of the Second Temple so that one coming to Jerusalem thereafter would never believe a Temple ever existed.
According to Josephus, Titus, the Roman General who razed Jerusalem to "below the ground" in 70 AD, allowed Fort Antonia to remain to house the Tenth Legion left to monitor Roman affairs in Jerusalem.
And thus the prophecy of Christ, “Not one stone will be left upon another,” was fulfilled.
Archeological evidence backs this up.
"The man usually credited with building the compound known to Jews as the Temple Mount and to Muslims as the Noble Sanctuary is Herod, a Jewish ruler who died in 4 B.C.
Herod’s monumental compound replaced and expanded a much older Jewish temple complex on the same site.
But Archaeologists with the Israel Antiquities Authority now say diggers have found coins underneath the massive foundation stones of the compound’s Western Wall that were stamped by a Roman proconsul 20 years after Herod’s death.
That indicates that Herod [unless he came back from the dead]
did not build that wall"
Newly found coins underneath Jerusalem’s Western Wall could change the accepted belief about the construction of one of the world’s most sacred sites two millennia ago, Israeli archaeologists said.
www.dailymail.co.uk
You can stamp up and down all you want.
God will not be mocked.