Salient point of Orthodox Haredi Jews opposed to Zionism here:
Dubbed the Israeli Putin,[Avigdor Lieberman] the Molodvan-born former bouncer and has set a collision course with the other "ultras" of Israeli society.
The "no loyalty, no citizenship" policy threatens to challenge the grudging status quo which has allowed to the Haredi community to thrive in Israel, reaping generous state subsides for their social welfare and educational network, despite the fact that many in their ranks veer from ambiguous to outright hostility towards the concept of the state that funds them.
Many of the 'black hats' believe Zionism to be a secularist aberration which has hijacked Judaism; that to reinvent the Jewish nation in the Holy Land prior to the return of the Messiah is downright heresy.
Just like Israel's Arabs, most members of the ultra-Orthodox community don't serve in the army. Yisrael Beiteinu thus questions their loyalty and right to citizenship.