Time for a chareidi-free Israeli government?

According to this poll, that's what most Israelis want.
Even the new immigrants, most of whom are from the former USSR and voted for Yisrael Beiteinu, are displeased with the government's performance on state and religion.

Seventy-seven percent of olim polled disapproved of government policy on religion and state, even with the participation of Israel Beiteinu. Seventy percent of olim supported the establishment of a civilian government which would include Likud and Kadima without Shas and United Torah Judaism, while 97% of haredim opposed a government of this composition.

And in doing so, echo the views of one of Israel's leading Reform rabbis, Ori Regev.

"The data represents the fact that the Israeli public is fed-up with policy being set by the haredi political parties and feels that their future and rights are being given up to the religious groups," said director-general of Hiddush, attorney and Rabbi Ori Regev.
"The public wants a leading government, not a submissive government. The public desires a government which will finally implement the promise of the Declaration of Independence relating to freedom of religion and conscience. The public wants a government that will not pass yeshiva stipends and will take away the monopolistic control over marrage and divorce by the ever-more-haredi Rabbinate," said Regev.
Regev called on Prime Minister Binyamin Netanyahu and opposition leader Tzipi Livni "to answer the calls of the public and establish a civilian government that will courageously implement the desired reforms."