Yeah because these are the only two options!
I'm not against Israel as a state and don't deny that they live in a dangerous reason where they believe that they constantly face existential crises. However, this doesn't mean that they actually face such crises (specifically given the size of their intelligence community and nuclear arsenal - particularly compared to their neighbors) nor does it excuse their continued violation of international norms in regard to Palestine (West Bank, settlements, etc.).
I struggle to see how Israel's continued failure to recognize and acknowledge Palestine as a legitimate state is any different than the complaints that Jewish people had for centuries regarding their own land and state.
The red part simply isn't true. Palestine has been offered a totally independent state numerous times over the past thirty plus years and have refused it. Under the Mitchell Plan and early Obama plan, Israel had agreed to give up 97% of the land acquired after the 67 War. All they wanted to keep was the Golan (which can never be given back to Syria) and making Jerusalem an open city. Israel even offered to pay for a modern Palestinian airport and free entrance to Israel to work and socialize.