Maybe I’ll try to elaborate.
As is known, in the religious public in Israel there are two approaches on this issue. The Haredi approach turns rabbis into gods, sanctifies absolute obedience, and forbids any criticism. The second approach is the Religious Zionist one, where a rabbi says something and waits to see which little journalist will attack him this time.
Personally, I can admire rabbis very much and at the same time understand that they can make mistakes. But most people aren’t capable of that. If you tell them that a rabbi is a human being, they’ll disparage him, and if you tell them that he is exalted above the people, they’ll turn him into idolatry. What would you recommend teaching?
As for the second part, which you didn’t address, and which is even more relevant: what is the rabbi’s place in the state? In exile it made a lot of sense that the community accepted the rabbi’s authority, especially since rabbis then were generally not detached, but rather involved in the life of the masses and in common sense.
Today, power is in the hands of politicians, and I’m unsure what the meaning of a religious party is. Is it a political machine in the hands of the rabbis, as among the Haredim, or are the rabbi’s words only a recommendation, as in the Religious Zionist parties? In my opinion, a rabbi should have some importance and some voice in a religious party—the question is how and how much.
With great appreciation.

I don’t see what this explanation added. The question was clear from the outset, and what I wrote was that it’s impossible to give a criterion. There is room to appreciate without idolizing. The decision should be left in the person’s own hands. That is also what I answer in this formulation.
Your distinction between exile and our time seems baseless to me. There were always rabbis who were involved and rabbis who were not, and so too today. And as I said, in my opinion it is not right to give them the right to decide. Religious parties are a different question, and in my opinion there is no need for them at all.

When you say not to give them the right to decide, do you mean at all? That is, even in matters of Jewish law, should a rabbi have no connection at all to a party representing the religious public?

You’re mixing things up. Religious parties are an unnecessary institution in my opinion, with or without rabbis. A private individual is supposed to decide for himself, and if he does not know what the Jewish law is, he can consult a rabbi. See my article on what a leniency is regarding the role of a halakhic decisor.