http://www.srugim.co.il/107090-%D7%AA%D7%96%D7%9B%D7%95%D7%A8%D7%AA-10-%D7%94%D7%9E%D7%A7%D7%A8%D7%99%D7%9D-%D7%91%D7%94%D7%9D-%D7%A6%D7%A4%D7%A6%D7%A4%D7%95-%D7%91%D7%91%D7%99%D7%AA-%D7%94%D7%99%D7%94%D7%95%D7%93%D7%99-%D7%A2Summary of this Hebrew article by Rabbi Avner Porat
1 Conceding at the outset on the issue of keeping the status quo on religion and state (in favor of being more liberal)
2 Warm Hug of Bennett to "Con" Judaism, saying Orthodox is not superior to "Con" and they are partners
3 His choice of the most liberal Orthodox Rabbi he could find as candidate for the chief Rabbi (as opposed to one more in the mainstream consensus of religious zionism)
4 Never ending debate with the Chief Rabbinate, such as trying to force a manager from the Tzohar organization on them
5 Bennett videos featuring exposed women (by Orthodox standards) and cheap language
6 the Jingle of the party featuring a woman singer. the party struggled against someone who wanted to make a version of the jingle without the female singer
7 Uri Auerbach statement that the politicians are tricky enough that in the end the rabbis will say what we want them to say
8 Choice of Eli Ochana by Bennett(showed the public what are Bennett's value system).
9 Choice of Yinon Magal by Bennet (who admits to have used light drugs).
While I might add some stuff or even take out one of the complaints of Rabbi Porat in the list above, I chose to quote the article without adding my own views to start the discussion.