But how do you know your authority is the right authority?

Not just some other dumb people claiming that.
Like all other authority that is not ur authority?

I cannot see how an authority can be right while also claiming moral authority and judging and simultaneously punishing people who do not agree.

How can something not voluntary be right?
And how can someone claim to be good while also coercing, judging, punishing who does not agree?

So how do you know your authority is the right authority?
And not just trying to perpetuate its power.