GAW:
No gadol holds that Zionism is “kosher”. To do so would be preposterous.
The “pasul” of Zionism, and the gedolim’s various statements about it, have been posted many times on these boards.
Satmar, to their credit, minimizes their interaction with the Zionists as much as possible. Others also do not take Zionist money.
But that’s not really relevant because the Zionists invaded Eretz Yisrael even though the Jews did not want them there and the Zionists therefore administer the infrastructure, etc. as much as the Jews wish they didn’t.
So Jews need not leave Eretz Yisrael just because the Zionists invaded, although Brisk seems to be getting a little closer to possibly leaving, as Rav Meshulam Dovid mentioned not that long ago.
ZD:
I did not mean to imply that Rabbi Kook was MO. But he is the basis for the heresy and idolatry (gedolim’s words) of “Religious Zionism” which is an essential tenet of the MO faith.