A) They wouldn’t admit it. NK use the Satmar Rov as their source (3 shvuos etc), but don’t listen to the current Rebbes of Satmar.
B) Yes, and gross stupidity.
C) Chilul Hashem, and sinas chinom. Probably elements of kofuy tov, but they would argue that the IDF has no role in our safety in EY today, it is only the Torah that keeps us going.
D) Don’t understand the question