Absolutely.
That's right.
"Sort of dying" is like being "kind of pregnant." Jesus didn't sort of die. He died, was laid in a borrowed tomb, and rose on the third day. As to why we send missionaries out to almost everywhere, it's to spread His gospel. Some of us happen to think that there are benefits to believing that are a big part of our lives here and now. Maybe for a lot of Christians, it's all about being "saved," and avoiding hellfire. That's not the case with us. There is so much more to the gospel of Jesus Christ than what it's going to mean for us in the next life.
I never said they'd see Him during the time between their death and their resurrection. If I didn't already made it clear, I will now. Heaven is not the same place as the Spirit World, and we believe that Jesus Christ is in Heaven today, not in the Spirit World. When Jesus told the repentant thief who hung on the cross next to Him on Calvary that He'd see him that day in Paradise, He was referring to the Spirit Word (which, as I already explained, is a state of existence that will resemble either Paradise or Prison, depending on the individual and what kind of life he's led). On the first Easter morning, when Mary saw Jesus in the garden near the tomb, she rushed to embrace Him, but He told her not to touch Him since He hadn't yet ascended to His Father. If Paradise and Heaven were one and the same, this couldn't be the case, because Jesus had by that time been to the Spirit World, where He presumably saw the thief He'd made the promise to and where He taught the spirits of the wicked who were also there.
You won't be seeing Jesus until you're resurrected and actually do go to Heaven. But you will encounter a lot of His followers, some that you might have seen wearing white shirts and ties on the earth, and others that you'd have never guessed would have converted to His gospel, since they'd lived their lives as Muslims, Buddhists, Hindus and *gasp* even atheists. But your comment did remind me of a thread I started years and years ago. In that thread, I asked people what their response would be if, after death, they suddenly found themselves existing in the state that Mormonism tells them they will be. There won't be nothingness and non-existence, but there won't be Heaven and Hell either (at least not for a good long time).
The OP said to me, "In your scenario, there is a second-chance clause, where we get to hear a pure rendition of the gospel without errors or cultural biases. And we get to make choices free from external pressures." That is essentially what Mormonism teaches.
Pretty close. Except that there will be no "irreversibly mentally impaired," any more than there will be any "irreversibly physically impaired." I suspect there will still be a few stubborn souls who will want no part of God or a hereafter. But, I suspect they will be few and far between. Mormonism is a religion that truly does teach that God wants us all to return to Him in the end and, although He will force no one to accept Him, He will give every last one of us every conceivable opportunity to do so. That's the kind of God I want to believe in, however laughable you may find Him.