Jerusalem was conquered by Muslims during the reign of the second Caliph Omar, and when he arrived to Jerusalem and entered the Church and it was time for the noon prayer according to muslim faith, he refused to pray inside and stepped outside the church and prayed in the space on which a mosque was later built and named after him. Omar deliberately did that knowingly that if he would've prayed inside, Muslims would've turn it into a mosque. this incident tells us that there was no deliberate omission or obliteration of any holy sites that belonged to Dhimmis whether they were jews or christians. by the way, the word dhimmi is being used with much negative connotation, whereas it actually poses a burden on muslims to protect the life, wealth, progeny of the people of the book. dialogue and discussion could be constructive if people's intentions are not to destroy each other, however if the intention is destruction then words won't matter.
UN warns Turkey against calling buffer a 'safe zone' unless guarantees civilians' safety (Reuters)
from the article: U.S. condemns Palestinian claim that Western Wall 'isn't Jewish'