In Teshuvos Vehanhagos vol. 3, 39 Rabbi Moshe Sternbuch says the Mikdash is probably on the south side, and not by the Dome of the Rock.
But we know Rabbi Sternbuch (and Rabbi Elyashiv, etc.) were willing to contaminate kohanim based on the clear understanding that the Mikdash definitely isn’t on the south side!
Unless the rabbi changed his mind since then (as he did partially and secretly with Techeiles)?
Or is it about the constant Charedi war against the Beis Hamikdash, and the truth be hanged?