Yes, it's true, anti-Zionism and Jew-hatred aren't the same thing. However, the utterly mindless obsession with Israel and its actions can't come from anywhere else other than from a prior hatred of Jews.
On this count, the Labour Party is more racist than the BNP.
Jew-hatred was prevalent in the Soviet Union and all socialist sates. This fusion of racism and anti-capitalism has been part of socialism since the second half of the 19th century. Sure, I'm prepared to accept that Jew-hatred and anti-capitalism aren't necessarily linked. However, anti-Zionists almost uniformly start off as Nazis or as (International) Socialist Jew-haters.