Avirah- Much of the list is first hand (Rav Dessler, The Tzitz Eliezer, Rav Ovadya, Rav YM Tichitzinsky etc.). Some of it is from the Sefer Aschalta Hi, written by Yitzchak Dodon (and has a Haskamah from Rav Avraham Shapirah, who regardless of Hashkafah was a huge Talmid Chochom). It discusses the views of various Gedolim towards the state. He usually brings first hand accounts, and names the person who witnessed it, which makes it more reliable. The statement about the different views about Hallel was told by Rav Michalel Weissbrod, Rav Shlomo Zalman’s neighbor.
The comment from Rav Yechiel Michel Tichitzinsky is from his Sefer “Sefer Hashmitah”.
In regards to Rav Moshe, he does write “Bichasdei Hashem” when referring to the fact that Yerushalayim is not Bershus Humos. That doesn’t sound like being neutral. Also, being that i’ve never heard any Talmidim say that Rav Moshe was against the state, I’m inclined to beleive Rav Shabtai Rapaport (even if his name is Shabtai). I also want to note, that Rav Moshe in IM writes to two Talmidim in Hesder that serving in the army is an “Inyan Gadol”, although learning full-time is greater.
Incidentally, you seem to assume that teaching in Bar Ilan is a terrible thing. Apparently, Rav Moshe is quoted as telling someone that there’s no problem with delivering a Shiur in Bar Ilan, but they might want to avoid it because of the Kanaaim (Mesoras Moshe, I don’t have the exact source offhand).
In regards to Rav Henkin, i think it goes to show that although he thought the state was a violation of the Shalosh Shevuos, he understood that there are Gedolim who have a different Hashkafah, and their Talmidim can be Somech on them. (It is noteworthy that Rav Henkin had great respect for Rav Shlomo Goren (even after the contreversies), calling him one of the Gedolei Hador (quoted by Rav Yehudah Hertzl Henkin).
I agree that the most of the Gedolim were not in favor of creating settlements and provoking the Arabs. My point was just that viewing the state positively was far from a minority view, as you wrote before.
In regards to the Chazon Ish, Rav Tzvi Yehudah who was a close Talmid, writes in a letter that the Chazon ish was not against the state, and that the rumors that that the Chazon Ish predicted it’s doom C”V are not true (You can see the letter online).
I find it hard to beleive that the Ponivitzer Rav would have been just as happy if America had accepted the immigrants, although I can’t prove it.