In fact the wall belong to both Jews and Muslims. We as muslims have a holy attachment to the wall because of our prophet who was there during Isra's and Mi'raj. However, the sad fact, is that Jews and of course Muslims claim the otherwise in which each party claims attachment while ignoring the other. Eventually, the wall is already occupied by Israel because the enforce control over the wall to Jews while preventing Muslims from visit it!
UN: At least 1,332 Iraqis killed by violence in July (AP)
from the article: Palestinian official: Western Wall is not Jewish