They refer to the Seven Mountains of society: family, religion, arts and entertainment, media, government, education, and business. These are the nerve centers of society that God (or his people) must control.
That does not preclude tolerance for other beliefs, nor will it necessarily eliminate the hypocrites out there, but it would put a damper on the cultural race to the bottom that has been going on by at least providing a standard of behaviour.
I appreciate your thoughts and can agree with the premise but I am concerned that they anoint “Messiahs” and “Kings”. That seems to greatly preempt my belief that Jesus is the Messiah and King. Also, I see no doctrinal basis for a cult that wants to take “CONTROL” to pave the way for Christs second coming. do you? and finally, I am concerned that they purport to desire to transfer all wealth to themselves from any non believer and disperse as they ( they, the “KING”) see fit to poor believers. That sounds authoritarian at best.