Orthodox Jewish anti-Zionism and anti-Semitic anti-Zionism are two completely different animals, and it is dishonest to use the former to excuse the latter.
All Charedim are "anti-Zionist" to an extent because Zionism began as a secular, western, nationalist movement inspired by other nineteenth century European nationalisms (the Italian Risorgimento) was a particular inspiration). It was basically a Hebrew-speaking, Jewish version of (lehavdil) Irish Republicanism (also a secular, socialist movement). It should be noted, however, that many of Herzl's initial supporters were Orthodox Jews from Eastern Europe.
The initial goal of Herzl (who was not religious) was, in the words of the late Rabbi Me'ir Kahana' (zt"l; Hy"d) a "Hebrew-speaking Portugal." Then after 1905 the movement suffered an influx of radical socialists who basically came to dominate the Zionist movement until Begin was elected PM in 1977. These socialist Zionists--like the anti-Semites--associated the Jewish religion with parasitism and "alienation from the soil." In order to become a normal nation--to once again toil for a living and farm--religion would have to be discarded. Apparently none of these socialist Zionists had ever picked up a TaNa"KH, because there were plenty of Jewish toilers and farmers, and the Jewish religion didn't hinder them one bit (in fact, Judaism regulates farming and toil).
While most Charedim today are pro-Israel (if for no other reason than that it is the Land of Israel and Jews live there), they are still technically "anti-Zionist." Satmar sticks out because they still attack Zionism openly and condemn Israel's secular government. But Neturei Karta' are nutballs--even Satmar condemns them.
Anti-Semites oppose Zionism because a Jewish State in the Land of Israel is going to be world headquarters of the Jewish World Conspiracy and the capital of the Jewish-governed world. All anti-Zionist Orthodox Jews--even Neturei Karta'--are in favor of the Jewish Messiah ultimately ruling the world from 'Eretz Yisra'el. But anti-Semites regard the Messiah as a sinister figure.
Ron Paul is among this fringe of John Birchers and Rushdoonyites who oppose "Zionism" because they oppose "Jewish world rule" and see Jews and Judaism as the ultimate cause of all the evils in the world. Please do not compare Ron Paul to any anti-Zionist Orthodox Jew.
True. As vile as Ron Paul is, I don't think he ever went to Iran, to attend a Holocaust-denial conference. Nor do I recall him openly hoping that the Islamofascists kill the Jews of Israel and render Israel Judenrein.