The mosque in question is next to a synagogue that was recently rebuilt after Jordan destroyed it in 1948.
Jordan and other Muslims countries should have no rights to any properties in the Old City. If at all, private Muslim residents of Jerusalem should be in charge of mosques. Of course it is ideal to ban mosques altogether but we know that the current government will not do that. This is the same Jordan that recently took over Jewish land in the Jordan Valley despite lease agreement in the peace treaty.
http://www.israelnationalnews.com/News/News.aspx/271991