So likewise the orthodox Jews in today's Jerusalem will believe Messiah has come, and is ordaining the building of their 3rd temple...
Zech 6:12-13
12 And speak unto him, saying, "Thus speaketh the LORD of hosts, saying, Behold the man whose name is The BRANCH; and he shall grow up out of his place, and he shall build the temple of the LORD:
13 Even he shall build the temple of the LORD; and he shall bear the glory, and shall sit and rule upon his throne; and he shall be a priest upon his throne: and the counsel of peace shall be between them both."
KJV
Do the orthodox Jews know about that above prophecy regarding the coming of Messiah? Yes. They are waiting for Messiah to come still, for they rejected Lord Jesus of Nazareth as Messiah.
John 5:43
43 I am come in My Father's name, and ye receive Me not: if another shall come in his own name, him ye will receive.
KJV