There is no good faith with a radical that want you to cease existing. The problems there extend far beyond IsraelÂ’s militarism or Palestinians claims over land. There is generational hate and as we should well know at this point, there is nothing you can do with someone that fervently believes you have no business existing. War has racked that place for a very long time and there is nothing that America can accomplish that will force that area into peace other that simply eliminating one of the sides. Such is not a solution worth discussing.
The genocide card is one that Israel has played continuously- and shamelessly- since the 1940's. In times of high stress, such as war, people will make extreme statements, especially in the Arab world, which tends more towards hyperbole. At times, prominent Jews have made similar statements about wiping out the Palestinians.
I think it is important to look towards more responsible people and institutions. Today the Arab League, and the PA, have a position that urges peace based on 1967 boundaries, with minor adjustments here and there as required, establishment of trade and normal relations, and some sort of just resolution of the Arab refugee issue. This latter has been left open, and may mean compensation rather than massive return of a population. It is a reasonable deal, and is a heck of a long way from "genocide".
The image of Jews being slaughtered wholesale has been a tool to obtain favor in the US, and a very successful one. It is an insult, when you think about it, to the millions of Jews who actually were slaughtered in WW2.