DY
There was a famous incident in Netanya, where a movie theater was open on Friday night, Rav Elyshiv ruled that one must protest this movie theater no matter what and the Sephardic Rav of Netanya was against protesting saying not only would it not work, it would likely backfire (It in the end did backfire as the theater is still open and there is more hostility to the charedim) . Rav Elyshiv ruled that the backlash didnt matter, Chilul shabbos was occuring and must be protested.
Certainly there are some elements when a majority is hit would love to pass shabbos laws in Israel and would do whatever it takes to make it happen