My English is reasonable, I travel to the US once a year if not more often, some of my best friends are Americans and I often spend time with Americans who visit Israel. I also spend time almost daily reading American websites. Having said all that, it's almost impossible for me to gauge what the proverbial "man on the street" thinks about most matters, including what people really think about Israel. Are the loonies on Mondoweis gaining traction, as they continuously crow? Was the war in Gaza a crucial and negative turning point, as Andrew says? Are thugs who shout down Israeli public figures at universities marginal, or is the silent majority willing to let them do their thing out of a lazy agreement with their sentiments? These things are not easy to know from afar, just as well-meaning American Jews can't easily know that criticism of the NIF has nothing to do with McCarthyism, and everything to do with Israeli society turning on its home-grown enemies.
In this spirit of uncertainly, here are a couple of indicators of the nice kind.
Americans rather like Israel.
The Jewish community of San Fransisco (San Francisco!) is more clear-minded about Israel than some of the locals might have you believe (h/t David B).