“After Adam and Eve partook of the fruit of ‘the tree of the knowledge of good and evil,’ God said they had ‘become as one of us,’ suggesting that a process of approaching godliness was already underway.” (https://www.lds.org/topics/becoming-like-god?lang=eng)
This deserves our most exasperated incredulity. Genesis 3:22 comes after Adam and Eve hid from God, and shamefully blamed others for their crime. The serpent was cursed, the woman’s childbearing pains were multiplied, Adam’s job of tending to the ground was now fraught with pain, and Adam and Eve were denied access to the Tree of Life and given over to the sting of death.
Then after Genesis 3:22, God expels them from the garden, guards it with a “cherubim and a flaming sword” to reinforce the curse.
The more simple interpretation of Genesis 3:22 is that Adam and Eve now more clearly understood the difference between good and evil like God and the surrounding beings of heaven did. Instead of trusting God for such knowledge on his timing, and his methods, and his prerogative, they trusted the serpent’s lies about God’s intentions and seized a pleasure and wisdom for themselves.
Genesis goes on to reinforce the story of this bad move: Cain kills Abel, and humanity plunges itself into more sin. “The Lord saw that the wickedness of man was great in the earth, and that every intention of the thoughts of his heart was only evil continually.” (Genesis 6:5) God shows his continued commitment to creation by saving Noah’s family from the flood, and by calling Abraham to himself and making him a gracious promise. But this was in spite of humanity’s wickedness.
“Suggesting that a process of approaching godliness was already underway” doesn’t fit the narrative.