tl:dr...But this is fairly common knowledge. Jesus said not one stone would remain. So who are you ggonna call a liar?
I have not seen this video but I can say it is yet another attempt to discredit Jewish claims and relics in Jerusalem. From Jesus was a PLO PALEOstinian to the wall is not really the wall.
You cannot really argue with Jewish-Muslim-Christian claims to the Holy City. If you do, the reaction will be violent, especially from the Islamic fanatics.
I’ve watched a video ‘like’ this. As I recall, it is explained that the place currently celebrated as the temple wall is not where the temple actually stood. To take away from a source of running water it was actually down the hill about 400 meters. The takeaway is that the dome of the rock would not have to be removed in order to rebuild the third temple.