Yes, R72, you are correct, although there's a sizeable minority that realizes that Hamas likely cannot ever be eradicated.
The country is torn apart, and Israelis have all been victims of Netanyahu's incitement. He has been pitting the people against each other for years so he can continue to rule. Over the last five or so years, he hasn’t even tried to be Prime Minister for everyone, but only of his base. His coalition allies have supported him and excused his corruption because it served their purposes and agenda and made him vulnerable to their extortion.
The solution will not come from the current crop of leaders, who have no plans for the future, no vision of the future at all.
You write "progressive" in quotation marks. I'm the poster upthread who mentioned Ami Ayalon (who, along with Palestinian Sari Nusseibeh, propagated the revolutionary but ultimately doomed The People's Voice peace plan, involving a two-state solution, 20 years ago). I'm trying to be optimistic about the cross-national coalition of secular, pragmatic, capable, smart, like-minded Israeli, Palestinian, and Arab people with vast experience (including military and diplomatic) currently working quietly on a peace plan and a shared victory, with support from U.S. and European diplomats and other officials. Ayalon and his coalition partners are highly driven because they have been through all this many times before: violence, death, complete collapse. They came close to the promise of freedom and peace, of two independent states, before the whole plan was wiped off the table two decades ago. That's why they're so eager to take action now, because the concept of two free states is the only chance of survival.
The Trump administration's most recent plan, 2020's Peace to Prosperity, was another failure. It did not take into account the voice of the Palestinian people at all, as a result of which many Palestinians are now likely to embrace the international mantra "one state, one people, one voice."