The latest 50 years, innovative theologians tried to describe the Catholic doctrine of the Trinity from 325 of Nicaea in a more modern way. The world picture has changed, and in doing so we need a new way to describe the Godhead, that God the Father, the Son (Jesus Christ) and Holy Spirit.
What not many theologians think of is that Joseph Smith was truly a pioneer in this, and he described it during his lifetime. But at the time was that his revelation little too magstark for contemporary theologians. The result for JS was that he was painted black in the media and the vernacular, he was persecuted and eventually he was murdered. Even some of his followers had to suffer a lot, and some of them were murdered too.
Would the same thing happen today? Probably not, because nowadays it is quite common to hear of people have encountered angels, and both the one and the other says he met Jesus.
Time has caught up with JS now, and now so do you call the entire social Trinitarianism. There are some different interpretations (classes) of the Social Trinitarianism, and the Mormon Church would think that God the Father can manifest themselves physically if he wants and have the desire with it.
Below are some videos from a person who believes in social Trinitarianism. This is Steve Thomason, which is a modern Lutheran theologian who is doing his PhD. In his interpretation of social Trinitarianism may God the Father does not manifest itself physically (Mormons believe that God the Father can). It seems so anyway when I look at his nice video that is well worth watching. He explains the theology through animation.
When he talks about God is infinite and that we humans are finite, so are the consequences of the fall as he speaks. The wages of sin is death, but Jesus Christ, we are lost people. Jesus' atoning work was that all people will be resurrected and receive an immortal body and with this be able to exist forever, but to get some of God's life required that we have Jesus Christ as our Lord and Savior. There is a big difference between having an immortal body and exist forever and to take part of Jesus Christ's eternal life.
I hope that you understand the difference, for it is immense. If you live a life without Jesus, it is one's own power, strength and knowledge to rely on, but if you live a life where Jesus Christ is Lord and Savior, it is his power, strength and knowledge that you can get to portion of. We choose people ourselves, we have the freedom to choose how we want it.
I have previously written about the social Trinitarianism, and it is always relevant to us Mormons as we are so often misunderstood by other Christians just completely unnecessarily.