<< its like 2 fighting children, constantly bickering, except one of these children has the ability to start a nuclear war. >>
One of the "children" has twice been attacked simultaneously by all it's surrounding neighbors combined, including the so-called Palestinians, and has soundly beaten them back both times. This same "child" has had the ability to take over the entire Middle East, but does not. In fact, it's returned over 90% of all land it's occupied.
The other "child" has waged a constant war of aggression against the first "child." Every time it gets it's ass handed to it, it screams and cries and plays the victim. Over and over the surrounding Arab nations have used this "child" as a way to attack the first "child" by proxy, since they found they cannot beat the first "child" in a legitimate war.
Sorry, there is just no way an objective person who knows the history of the area can think that both Israel and the Arabs calling themselves Palestinian are in any way equally to blame here.