I didn’t even address the neturei karta issues. Neturei karta are mainly litvishe Yerushalmis. The satmar rov was vocally opposed to even the legitimate, original NK started by rav amram blau. The current incarnations are splintered, with the main, normal, non-arafat hugging group still in meah shearim. Either way, almost none of them, the normal and the crazies, are talmidim of the divrei yoel zt”l.
Zushy, the satmar rov was far from a daas yochid in not requiring yishuv eretz yisroel. Learn vayoel Moshe; 1/3 of the sefer is source after source that holds that there is no obligation. Those include rabbeinu chananel, one opinion in tosfos, and the rambam as explained by the megilas Esther. The rivash holds that the obligation isn’t so much to live there, but to buy land from goyim. The ramban holds that there is a chiyuv. It’s a machlokes rishonim. Achronim say that it’s a mitzvah if you’re able to do so relatively easily. Rav chaim kanievsky writes that too. Rav yaakov used to say it’s easier to raise kids in America.
Some gedolim were moser nefesh to go to eretz yisroel; many weren’t.