Truthfully, while it wouldn't be a match made in heaven, the Muslims might better accept Israel if they'd stop the brutal killings.
This is basically my opinion on the situation. Israel have been aggressive expansionists since the nation was formed, they view their neighbors as inhuman (and have gone so far to say as much publically) and use any excuse they can get to expand their borders further. Americans have long been Israel's greatest ally, but even our patience is beginning to wear thin, and after the last major incursion by Israel into Palestine, there is almost no sympathy left - even among many jewish Americans. Live video feeds of Israeli soldiers shooting at reporters and civilians and shelling UN hospitals with white phospherous artillery did not endear them to anyone.
I think Helen Thomas was just reflecting an opinion many Americans have. We did a lot for the Jewish people following the holocaust, and have given them untold billions of dollars in federal aid over the years, defended them from their neighbors and advocated for them in the united nations, but they are refusing to get along with the people around them, refusing to even attempt peace, and now actively ignoring UN sanctions and human rights regulations under the guise of national security and manifest destiny.
I'm sure I'm going to piss somebody off for saying this, but if they're not going to even try to get along with - or ignore - their increasingly feeble neighbors and try to recognize that the people around them happen to be other nations with actual people and territory, they need to, as Helen Thomas so eloquently put it, Get the hell out of Palestine and go back to Germany and Poland.