America wont let anyone else intervene.
Is this referring to the Hamas Charter? Suspect it is a typo and you meant to say both sides.
Hamas presents new charter accepting a Palestine based on 1967 borders (2017)
Yassin. Jabari. al-Rantisi. The latest one is Haniyeh who opened up for a long term truce with Israel AND recognizing Israel as a state.
These are just the people from the top of my head. They were all killed within months of proposing long term truces with Israel.
Not nice people, but still people with power to make a change. Israel has shown again and again that negotiation should be done by force.
"Both sides" is like saying the Native Americans were at fault for resisting the European Colonists' (ultimately successful) efforts to take their land and exterminate them.
Hamas does not want to step down, they want to kill all the Jewish people. They are very clear about this.
Consider that even people on HN are replying to you with the kind of rhetoric that they are, on both sides of the issue, and then keep in mind that the world is full of people who feel even more strongly about it and don't feel at all restrained by HN commenting guidelines.
No, there is no trusted neutral party. There are many players involved who reject that concept on principle, who even consider that it would be suicidal to accept such a thing.
Current strategies of applying external pressure and protesting appear to be largely ineffective.
There's so many people who wield immense power and wealth, but they seem unwilling to take direct action to put a stop to this conflict, they just sit in the sidelines like low-agency players.
If there's a trusted neutral party that people could rally behind, then it would just be a matter of coordinating behind them and pushing a focused message of bringing all relevant leaders to the negotiation table in order to design a framework that builds towards peace in the area.