Around six years ago, representatives from the National Religious Party [NRP] met with former Chief Sephardi Rabbi Mordechai Eliyahu shlit"a. They ask Rav Eliyahu whether they could include women on the party's list of candidates.
He said no.
When asked why they went against one of the major rabbinical figures of our time, the response was that...
We have other rabbis.
I mean if you're going to do what you want anyway, then at least don't ask a rabbi in the first place. There wasn't even any attempt, that I recall, to say that they asked him only hypothetically.
Ironically, Member of Kenesseth [MK] Gila Finkelstein (NRP), the woman in question who was elected that year, was, in my humble opinion, the best MK the party had.
How does a party call itself "religious" when they leave religion out of the equation?
It's really no wonder that Rav Eliyahu has not endorsed the Jewish Home Party (NRP redoux). He has endorsed the National Union, which even includes secular candidates. So have Rabbi Dov Lior (Hevron-Qiriyath Arba), Rabbi Zalman Melamed (Beth-El). Even another prominent Religious Zionist Rabbi Shlomo Aviner (Beth-El) has refrained from endorsing either party.
I suppose that the members of the Jewish Home Party aren't concerned, as they have "other rabbis."