I've met many self-described Jews who are ambivalent about Israel.
We can list you literally hundreds of Jewish-run organizations who are sworn to help Hamas end Israel, further the “Palestinian” cause, tear down the Israeli “Apartheid wall” and help with the Gaza flotillas.
If Mohammed is one of the most popular boys names in the world, “Vidkun” should be pretty high on the totem pole too.
Of the ones that are usually anti-Israel, it’s often because they are secularized. They may be Jewish in their ethnicity, but they aren’t really Jewish in their heart.