correct on all counts, though personally I would like the status quo on aesthetic grounds. A Third Temple would be a monstrosity , a cross between a hotel and an airport no doubt. Incidentally, has it ever struck anyone that the Dome of the Rock (which incidentally is not a mosque) is the chief feature of all Israeli tourist posters?
U.S. State Dept. condemns 'vicious terrorist attack' that killed Palestinian infant (Haaretz)
from the article: Why the Temple Mount should remain out of bounds