Zionism has no requirements that its acolytes adhere to any form of
Judaism. The three groups you mentioned are fundamentalist Muslim
religious organizations, and all three engage in forced adherence to an
interpretation of the Koran and all three pursue forced religious
conversions. There are significant numbers of Jews in Israel and
elsewhere who are revisionist Zionists and have no religious affilition,
other than being born in a family in which the mother was Jewish.