I think Iran gaining nukes and a strong military and reduction of US interest in Israel would mostly solve the problems. It will cause a balancing of power and Israel less willing to start random wars and violence. Iran will be a shitty country to its own people as always of course but the Israel csused chaos would mostly be reduced a lot.

Alternately Israels nukes are made legal and decommissionied and or brought to neutral third parties for safekeeping, that would significantly reduce the incentive for its neighbors to want to make nukes. As long as israel has nukes, its neighbors would never feel safe without and keep trying to build nukes.