GAW:
Agudah would, presumably, take money from whomever their rabbinic board permits them to take money. I don’t understand the relevance of that to this topic.
The Israeli parliament is referred to in some sefarim as “knesses haMinim”. I am not aware of the heter the Agudah “MK”s use to enter that place, but I do know that the Brisker Rav would advise “MK” Rabbi Shlomo Lorincz Z”L about various Klal matters, and that Rabbi Lorincz did what he could for Klal Yisrael “working from within” the Zionists.
Regarding the wine, I have not seen anything brought down about that so I would have to ask my LOR. I think it’s an excellent question, though.
Regarding the nonsense at the end about Israel and ISIS that you “put in my mouth”:
Had the Zionists never invaded E”Y, meaning over a century ago (not just in 1948), there would have been no need for an IDF (and there would have not been the Chevron Massacre in the 1920s, et al.), which is what the holy Chazon Ish told the first Zionist Prime Minister, as I mentioned above.
Now that the reality is that the Zionists have invaded E”Y and clearly are powerless to protect their citizens as, unfortunately, is quite evident from not only recent news reports but going all the way back to 1948 and before, it seems we need a miracle to resolve this. But davening for the Zionists is still 1000% wrong; we daven that Hashem should keep all Jews safe and sound, however HE chooses to do so.
May Hashem redeem us all with the true geulah BB”A.