All of this is "on account of their faith." All things are obtained through faith. That is explained in the Sixth Lecture, quoted here. Faith is a principle of power. It is capable of making things happen. There must be a connection between faith and power; between faith and priesthood.
Others reject the Spirit of God and, therefore, do not have this power. These others may claim to have authority, but they do not really receive power from the Spirit of God. They are animated by a different source.
What, then, causes someone who has a little authority "as they suppose" (they don't really have it, you see), to attempt to use that pretense to control and dominate others? The answer is contained in revelations already in print. It is their pride, their insecurities, the need to control, to be praised and celebrated, the need to gratify their vain ambition. These are character flaws. They cover up these flaws by claiming to have priestly authority from God. (D&C 121: 34-44.)
They are the world's Pharaohs, not the world's Abraham's. Their hearts are hard, their minds blind.
They do not hear the Spirit of God, and therefore none of the powers of heaven are with them.
This was/is their choice. They could have had the same privilege. But, alas, they prefer instead their own aggrandizement. They prefer monuments built with their names engraven on them. There is no message of truth and hope coming from them. Their words (the only things which really endure), will fall to the ground unfulfilled. They will not be remembered. They will return without a saved soul.
What stunning doctrines we have stumbled upon here! I'm getting worried about things as I look about. This Book of Mormon is alarming...