Moses, who in the majesty of the Melchizedek Priesthood led enslaved Israel out of Egyptian bondage into their promised Palestine, brings back those very keys... "These keys empower those who hold them to lead all Israel, the ten tribes included, from all the nations of the earth... to the mountains of the Lord's houses, there to be endowed with power from own high." Bruce R. McConkie, (The Keys of the Kingdom, Ensign May 1983 p. 21-23
The man Elias brings back the gospel of Abraham, the great Abrahamic covenant whereby the faithful receive promises of eternal increase, promises through celestial marriage their eternal posterity shall be as numerous as the sands of the seashore or as the stars in heaven for multitude. (Bruce r. McConkie, Quorum of the Twelve, 'The Keys of the Kingdom, Ensign May 1983 p. 21-22)
The Lord sent Elias and he sent Elijah. And when Elias came, he brought the gospel of Abraham, the divine commission that God gave Abraham, the marriage discipline that God gave Abraham, Elias restored celestial marriage, and Elijah came and brought the sealing power so the ordinances would be binding on earth and sealed in heaven; and it takes the ministry of both of them to accomplish the purposes of the Lord. (The Promise Made to the Fathers." From Studies in Scripture Vol. 3 Genesis to 2 Samuel, ed. Kent P. Jackson and Robert L. Millet (SLC UT Randall Cook Co. 1985 p.61)
It's interesting that in the case of Joesph Smith there were many shared visions. It's harder to refute shared visionary experiences.