Randomex:
“if one were to translate lehavdil the three branches of government into Judaism
On what basis?”
On the basis that these three powers exist in all law-based institutions. Being that yiddishkeit is a law based institution, it has at least those three powers. The question is, how are they divided? The Torah divides between Kehuna, Melucha, Nevius, and Rabbanus with distinct rules for each.
Who is the executive branch now that we have no king?
I think it is an important question.