When this Gaza conflict started, I saw how the Israeli protested against their government and demanded peace, so I thought there is a semblance of an excuse for glimpses of abhorrence being reported - "it's a small number of people in power, not the Israeli nation doing it, and also there are always 2 sides to the story".
Since then, there have been unfathomable horrors and crimes against humanity done from the Israel side, with extreme intensity and one-sidedness, and it's now been going for so long. I can find no excuse of any kind anymore, for what has been and is being done in Gaza. I don't think any normal person could. The weight of these things, in my mind at least, is such that if the Israeli people really wanted anything different, it was their human duty and utmost responsibility to stop this by now, in whatever way needed. They didn't... It's sad that people who have suffered so much as well, let themselves become the villains to this depth and extent.
As horrible as the Israeli mindset is, their subjective viewpoint is at least somewhat relatable: An ordinary Israeli citizen is born in that land, knows nothing else, just learns that the entirety of the surrounding populations want them dead - and will with very high likelihood experience terror attacks themselves. That this upbringing doesn't exactly make you want to engage with the other side is psychologically understandable.
(I'm imaging this as the universal experience of all Jewish Israelis, religious or secular, left or right. I'm excluding the religious and Zionist-ideological angles here, because those are a whole different matter once again)
What I absolutely cannot understand is the behavior of our states. We're pretending to be neutral mediators who want nothing more than to end the conflict, yet in reality, we're doing everything to keep the conflict going. We're fully subscribed to Zionist narrative of an exclusive Israeli right to the land (the justifications ranging from ostensibly antifascist to openly religious) and we're even throwing our own values about universal human rights and national sovereignty under the bus to follow the narrative.
If the messianic and dehumanizing tendencies of Israelis are answered by nothing else than full support and encouragement of their allies, I don't find it exactly surprising that they will grow.
But yeah, in practice, we seem to want it to end with full Israeli dominance, and the Palestinians either emigrating to Egypt and Jordan or vanishing into thin air, I suppose.
No, the majority of the West strongly wants a two-state solution (on the 1967 border, roughly). So did many Israelis, who voted people into office intent on achieving that goal many times.
The problem is, Israel and Palestine never managed to sign an agreement leading to a two-state solution. And in parallel to the peace process, some Palestinians launched the second intifada, a terror campaign which killed many hundreds of Israelis. This eventually lead most Israelis to think that a two-state solution is impossible.
1. You call it "The Israeli PM who pushed for a two state solution" (referring to Rabin), but actually there were other PMs who were negotiating a two state solution with the Palestinians and were elected after - Ehud Barak and Ehud Olmert (Ehud Olmert was ten years after the assasination of Rabin).
2. The PM the succeeded Rabin, Ariel Sharon, a long-time right-wing hawk, didn't negotiate with the Palestinians, but did shift Israeli policy to simply leaving the territory without a negotiated settlement. He's the one who pulled Israel out of Gaza, and by all counts, he was poised to do the same and leave the West Bank before he had a stroke.
Olmert, also a historic right-wing hawk, succeeded Sharon, and campaigned openly on the idea of starting to pull settlements out of the West Bank. And he won, with this campaign.
Olmert, btw, to this day is a big peace-advocate, working together with Palestinian partners on trying to bring about a two-state solution. He's also a big critic of the current Israeli government (and famously wrote a piece saying that Israel was committing war crimes in Gaza).
3. Funny enough, another way in which you're technically wrong is that Rabin himself didn't directly advocate for a two-state solution, at least not officially. That was probably his direction, but both Barak and Olmert went much further than him in what they were offering the Palestinian leadership in terms of a deal.
Bonus 4th point: Worth mentioning that calling the person who assassinated Rabin a "right wing Israeli" is pretty wrong too. He was a member of a very extremist right-wing group that did not and does not have any broad support in Israel, as opposed to standard "right wing" positions which do have broad support.