Neturei Karta are a tiny, insignificant faction. They number in the mere hundreds. They are a vocal and visible protest group and so its understandable people overestimate their importance. They are anti-Zionist, but the rest of the Haredi community is simply non-Zionist or apathetic.
From a theological perspective, the Haredi groups that are anti-Zionist don't even oppose Zionism on solid theological footing. Kabbalah itself is a departure from the rationalist and mainstream orthodox Judaism of Maimonides.
Zionism is neither secular nor religious, it is simply the idea that Jews are entitled to a state in their historic homeland. There are both secular and religious Zionists, among the prominent figures belonging to the latter category was Avraham Kook. The Jewish settler movement, those who wear knitted kippot, is a good example of religious Zionism.
