I agree with your adding to my remarks the Catholic Church which certainly has had more societal problems, at least present day,than the Mormon Church. My thoughts are about any religious organization that attempts to control the governmental actions/structure of our Nation.
The Catholic Church has more problems than the Mormons ? Maybe, but thats because of -
a Large size - in the US its at least 10 times the size of the Mormon church. More people, more scandals.
b. Geographic distribution - Mormons are concentrated in Utah and problems largely remain inside that limited media market, and/or they are taken care of internally.
In the past, and up to this day the Catholic church had and has immensely more political power in the US than the Mormons.
It is still visible even in the fabric of our cities, if one knows how to look. In San Francisco for instance Catholic parish churches and parochial school sites (often former sites) are regularly spaced across the residential zones of tract houses, by area the bulk of the metropolitan area. This is not an accident, these were planned into the city, in collusion with the political authorities, as these areas were being developed in the 1880’s-1910’s. Multiply San Francisco by a hundred.