the leftists just had some peaceful protests. They did nothing.
True the protests were largely peaceful but what do you have in mind for the chareidi protests?
If like most people you're think of blocking major highways in strategic places to "grind the country to a halt" that they did do.
They blocked the Ayalon every Motzei Shabbos for months, blocked access to Ben Gurion a few times, gridlocked most of Jerusalem etc.
But the point is that it wasn't actually the disruption that caused that worked. It was the Histadrut general strike, reservists refusing to serve, tech firms pulling investment (causing a real drop in the value of NIS and credit rating downgrades), and even the fact that there was international pressure on the government to withdraw, from Biden himself and from all the American Jewish organizations as well as European governments that ultimately caused them to give it up.
All of this will not exist in a Chareidi protest movement.
Besides the fact that you can't compare the pressure of a protest movement that 40% of the country supports which is causing a real drop in the governments approval ratings versus minority protests against a government policy that has close to 90% support and is probably giving government approval ratings a bump.