American Yerushalmi, Rav Zalman Baruch Melamed says that Bennett does ask rabbis. However, according to the Rema (Choshen Mispat 163:1) he is not required to listen and neither are the voters:
?? ???? ????? ????? ?????? ?????? ???? ?? ?????? ?? ??”? ??????? ?? ?????? ????? ??? ??? ???? ???? ??? ???? ????? ??? ???? ??? ?????? ????? ???? ?????? ???? ???? ????? ????? ???”? ??????? ???? ?? ?? ??? ?????? ??? ???? ?????? ????? ???? ?”? ???? ????? ???? ?????’ ??? ??? ??????? ??????? ???? (???’ ????”? ??? ???? ??’ ?”? ?????”? ??”? ?????) ??’ ??”? ??’ ??”? ???? ???? ???? ???? ?? ????:
???? – his opinion and not his rav’s
??? ???? – for the sake of Heaven and not for the sake of some personal or subgroup interest
As for the nature of the State, calling it extremely secular is libelous. Shabbat and yamim tovim are official days of rest, government offices are even closed during Chol HaMoed, food in government institutions is kosher, during Sukkot the President receives visitors in his sukka, etc., etc.
As for the Chareidi tzibbor, it is difficult to say what their leaders tell them as what they say publicly is not always what they say when the extremists are not listening (the latter even threw rocks at Rav Eliashiv when he reached an agreement on moving graves). A case in point is the proliferation of Chareidi professional training programs and colleges (sometimes even tracks within secular colleges).
Health,
1.I don’t have to. You do a good enough job.
2. Wrong again. They informed each other as to who were pasul according to the other’s opinion (Yevamot 14a). Their stalemate was due to an argument over whether we go according to the greater number or the greater amount of wisdom. I heard an opinion that that was why Rabbi Eliezer would not accept the majority vote. He was from Bet Shammai and he was greater in wisdom than all of them put together (Pirkei Avot 2:8) so he held that he was the rov.