Actually, that was a similar situation in my family. My paternal grandmother's family could have passed for Aryans (blond, blue eyed and the men are quite tall). Which shielded them from quite a bit of anti-semitism.
The quote earlier by James Lileks (But they're not anti-Semites. Heavens, nay. Don't you dare question their philosemitism! No, they looked at the entire world, including countries that lop off your skull if you convert to Presbyterianism, and what did they choose as the object of their ire? A country the size of a potato chip hanging on the edge of a region noted for despotism and barbarity. By some peculiar coincidence, it happens to be full of Jews.) explains why overwhelming hatred and resentment of Israel often overlaps with anti-semitism.
At the same time, cry 'anti-semitism' is a little bit like crying wolf. Which is not to say that wolves don't exist, or aren't a serious problem. But if you see every shadow of a wolf, sooner or later most people will stop believing you. And as a Jew, that's a big concern for me. Cindy Sheehan's views are certainly disturbing, even offensive, to me.
I would like to know why Iconoclast aligns himself with Cindy Sheehan. But I'm going to hold off on calling him an anti-semite for the time being.