Chaim > Firstly yes R kook is relevant
And ZSK similar.
I am thinking it is a stretch to try to have antiZ acknowledge R Kook and similar rabonim. It would be easier to have a dialog about Rabbonim that were well known to have respectful relationships (even with disagreements) with Rabbonim antiZs consistently recognize.
ZSK > They also (incorrectly) lump ideologically secularist Zionism together with Religious Zionism
Right. That is why I would advise these guys to go open a sefer from the Rabbonim they can accept and then let’s have an informed discussion. Let them point out what exactly they disagree, how R Yoel argues on R Soloveitchik and let us understand those disagreements. I am shocked, shocked that they are not showing any signs that they opened a sefer. It is not osur to read a kosher sefer that you disagree with. Beis Shammai & Beis Hillel knew other’s halochos.