Great show. About Eli Yishai, something does not add up. 1) Yoni Chetboun is Dati-Leumi and it seems to me at least he would and does support Jewish access and prayer on the Temle Mt. 2) Eli Yishai's (new) Rabbi Meir Mazuz DOES approve going up on the Temple Mt. (and other sources available as well, I read it on the Yeshiva world and Jewish Press some time ago, for example see this below).
Rabbi Meir Mazuz (seen visiting a synagogue in Crown Heights, Brooklyn) declared in a public Internet psak that it is legal for a Jew to go up to temple Mount.
http://www.jewishpress.com/news/breaking-news/senior-haredi-sefardi-rabbi-approves-going-up-to-temple-mount/2014/03/09/