> However all of those pieces arrange themselves around a central conflict which does have exactly two sides in my opinion, which are the Israeli and Palestine people, respectively their claims to live on the land.

We're talking here about the conflict that has happened as a result of the Hamas attacks on October 7. Take a look at how CNN vs BBC vs The Guardian categorize the conflict. CNN describes it as the "Israel-Hamas War" (Reuters similarly uses "Israel and Hamas at war") while the BBC and Guardian list it as the "Israel-Gaza war" (and I'm pretty sure the Guardian previously used the same terminology as CNN). And you've described it as "Israeli people-Palestine people".

https://www.theguardian.com/world/israel-hamas-war

https://www.cnn.com/middleeast/live-news/israel-hamas-war-ga...

https://www.reuters.com/world/israel-hamas/

https://www.bbc.com/news/topics/c2vdnvdg6xxt