There are plenty of American Jews who are outright hostile to Israel, among them members of my family. Even among the Orthodox, there are Satmar Chassidim, who believe it’s something evil. Posing as pro-Israel with the eternally malfunctioning flame and the like is possibly more for fundamentalist Christians’ eyes than ambivalent to hostile American Jews.
I have heard that there is opposition to Israel by Orthodox Jews who don’t believe the creation of modern Israel was divinely inspired and that G-d’s will has not been sufficiently expressed to accept it as consistent with fulfillment of the prophetic restoration of Zion.