Actually Miller is right.
If the Har Habayis absolutely has been decreed by Hashem to be under the temporary 1600 year custodianship of any group of human beings, let it be the Muslims!
The Hebrew University & Conservative Jews would build on it a campus dedicated to Biblical Criticism.
The Meretz and Reform Jews would build on it a Gay complex dedicated to 24-7 toeivah.
Land-developing Jews would build on it four 100 floor skyscrapers.
Food-developing Jews would build on it a 1000 seat MacDonalds treifburgery.
Worst would be the Orthodox: the vicious in-fighting that would take place between the Chardal, Charedim, Chassidim, Misnagdim, Mitnachlim, Modern Orthodox and Kahanists doesn't even bear thinking about: bickering groups who believe that they each have a Divine right to control a plot of land are dangerous, & blood would flow: it would be like Bobov 45 vs Bobov 48 or the upper vs lower floors of Lubavitch 770, but x10,000!
Which is why the 3rd Temple will either descend from Heaven ready for use, or a Divinely appointed Moshiach will ruthlessly dictate its building plans.