In case you were wondering what happened to the Israeli plans to build a "Mughrabi gate" bridge: they were scrapped. Read about it here: Israel scraps Mughrabi Gate bridge planThe original plan did not take into account the flurry of religious hysteria that would inevitably accompany any move by any Jew regarding the temple mount, including sneezing near it, and would lead to a Jihad. The protests of benighted and hate mongering fanatics were backed by the UN:
A UNESCO report on the dig concluded that the excavation is not damaging the holy site but called on Israel to stop the dig nonetheless to allow for international observation of the work.
Even though an investigation commission found that Israel had not disturbed the mosques in any way or committed any damage, Israel was nonetheless forced to cease and desist. In contrast, the Muslim Waqf has been busy bulldozing priceless artifacts of the first temple period beneath the Al-Aqsa mosque, and weakening the foundations of the mosque for about ten years. Alarming cracks have developed in the Temple Mount thanks to these actitivites. The mount is apparently really an artificial mound, that was raised by Herod in order to enlarge the original "mount" which was too small to accommodate his ambitious building plans. The ancient land fill project is now being undermined, quite literally. When the whole structure collapses, bringing down the Al-Aqsa mosque, the event will undoubtedly be blamed on "the Jews."
The religious hysteria stirred up against the construction was primarily the work of Sheikh Raedh Salah, head of the northern branch of the Israel Islamic Association, whose speeches filled with anti-Semitic invective and false charges were aimed at inciting violent insurrection.
By the way, nobody knows if the first temple is really underneath the mosques, or if, as some suggest, the original site was on a different mountain.