Only a third of Israelis believe that Israel should govern Gaza after the conflict is over. Moreover, 53% of Israelis have a reportedly negative opinion of Prime Minister Benjamin Netanyahu. However, it is true that a minority of Israelis support a peaceful, two-state solution, only 21% – a percentage that has been declining since 2013. 51% of Israelis say that it is unlikely the rest of the world will recognize an independent Palestinian state within the next 5 years. A majority of 56 percent of Israeli Jews supported the "transfer (forced expulsion) of Arab citizens of Israel to other countries." However, it is difficult to make a substantiated claim that the majority of Israeli Jews support the forced ethnic cleansing in the area, at least through reliable sources. The majority do support the forced relocation of Arab Palestinians.
My main sources for this fact check were the Pew Research Center and the Genocide Watch. A secondary source I used was Amnesty International. I got the percentages and figures from Pew Research Center. From the Genocide Watch, I got the quote about 56% of Israeli Jews supporting the transfer (forced expulsion) of Arab citizens of Israel to other countries. I got more background information from Amnesty International. The Genocide Watch is certainly left-leaning, as well as Amnesty International. Pew maintains relative neutrality. I was not able to find credible evidence to specifically support that the majority of Israeli Jews support the ethnic cleansing (killing) of Palestinians, but the majority do support the actions of the Israeli government in Gaza when it comes to the expulsion of Palestinians.
https://www.genocidewatch.com/single-post/poll-show-most-jewish-israelis-support-expelling-gazans
https://www.pewresearch.org/global/2025/06/03/israeli-public-is-increasingly-skeptical-about-lasting-peace/
https://www.amnesty.org/en/location/middle-east-and-north-africa/middle-east/israel-and-the-occupied-palestinian-territory/report-israel-and-the-occupied-palestinian-territory/