Cue the citizens that protested to stop the aid trucks from going into Gaza. The citizens that protested because the Israeli military arrested (after a lot of international pressure) soldiers that were caught raping Palestinian prisoners. They were protesting for the right of soldiers to continue to rape.
The people you're talking about are Israel's far-right. I don't think you can index from them onto the median Israeli's political views anymore than you could reasonably index from a member of Hamas's armed wing onto the median Palestinian.
(A recurring theme in both I/P and MENA conflicts more generally is that political minorities - WB settlers in Israel, for example, manage to wield disproportionate power and induce chaos and strife across the region.)
https://electronicintifada.net/content/book-review-how-israe...
I suggest reading Hamas' 2017 charter in full for proper context.
[1]: https://www.idf.il/en/mini-sites/our-mission-our-values/
This also tracks with my travels to Palestine, friends who have travelled more recently, and various videos and article: the right-left in Israel is quite different to the right-left in other Western nations: namely, if you talk to a leftist Israeli, they will also hold strong view against Palestinians.
This is, critically, a pretty different political position from defending people accused of wartime rape. That doesn't make it a good position, but we shouldn't conflate the two.
As for why: Israelis don't appear to disapprove of a two-state solution any more or less than Palestinians[1]. Both are absolutely committed to the idea that their one-state solution will be supreme.
[1]: https://news.gallup.com/poll/695582/peace-distant-prospect-i...
They were optimistic!
Looking at the long term history of Israel, the left was more optimistic in general about hopes for peace with the Palestinians, while the right more suspected that Arafat never really wanted peace, and was just being sneaky. But let it be noted that the Prime Minister who ordered the withdrawal from Gaza was right-wing Gen. Ariel Sharon, Likud member and previous advocate of settlements everywhere.
After the actions of Hamas in subsequent years, particularly Oct 7, 2023, that hope and optimism was completely eliminated.
Let's not pretend that the 2005 'withdrawal' was a chance for a fresh start for the Palestinians that they floundered. The various negotiations were very one sided, and the offers were also unacceptable.
There’s a small but courageous peace movement in Israel. They don’t have the kind of sway it would take to stop anything.