President John Taylor taught: “The Lord will be king over all the earth, and all mankind literally under his sovereignty, and every nation under the heavens will have to acknowledge his authority, and bow to his scepter. Those who serve him in righteousness will have communications with God, and with Jesus; will have the ministering of angels, and will know the past, the present, and the future; and other people, who may not yield full obedience to his laws, nor be fully instructed in his covenants, will, nevertheless, have to yield full obedience to his government. For it will be the reign of God upon the earth, and he will enforce his laws, and command that obedience from the nations of the world which is legitimately his right” (Teachings of Presidents of the Church: John Taylor [2001], 225).
Taylor was speaking of mormon covenants and "serving in righteousness" as serving mormonism.
It appears that mormon belief is that the world will be ruled, "governed" according to the membership in the mormon church.
How convenient that "Yes, we believe that some of the original teachings of Christ got lost or changed over time"...that particular "teaching" got lost or changed, and was "restored" to ONLY benefit mormonism.
Ping to 125
When Jesus returns to earth and establishes His kingdom here I have no doubt that all who are on the earth will be obliged to acknowledge His authority.