Update: See Hashem1.net on this.
From Mishpacha Magazine, 16 Tamuz 5766 - p.16:
Raising the Roof in the Old City
The height of the roof in the Churvah Synagogue, currently being rebuilt in Jerusalem's Old City, has turned into another chapter in the ongoing annals of the Israeli-Arab conflict, with Arab officials contending that Israel is violating a longstanding deal that no Jewish houses of worship should be taller than Arab mosques. Israeli officials insist they are merely restoring the Churvah to its former height of 150 feet.
The Churvah was first built around 1700, when Rabbi Yehudah haChassid and some 500 followers arrived in Jerusalem from Russia.
Arabs razed the synagogue in 1721, burning sifrei Torah in the process. It was rebuilt in the 1830s by talmidim of the Vilna Gaon, only to be destroyed again by the Jordanian Legion after the 1948 war. According to one story, traditionally handed down from the Gaon's talmidim, the Gaon had said that the Churvah would be built and destroyed twice and when rebuilt a third time, it would be a sign of the coming of Mashiach.