As I understand it, many peace proposals that were made to Israel by Palestinian leaders were summarily rejected. As to the old bromide about "destroying Israel", this is just mythology.
What was attempting to be destroyed was the monolithic occupation and the unacceptable conditions given by Israel to pacify Palestinians.

Again, the conflict between Islam and Judaism plays a major role here.

The proof that honest brokerage of peaceful terms is nullified is the continued use of violence by Israel and the disproportionate reaction by the poor Palestinians.

Rock throwing is not comparable to phosphor bombs or home demolition by bulldozers

As evidenced by the continued housing developments, Israel would like to dominate any Palestinian attempt at autonomy.