They would no longer be people. There is no thought for the soul, which is immaterial, but which makes human.
Star Trek, as popular as it is, is pure atheistic materialism in philosophy. I don't even think Christians in good conscience can enjoy it without compromise of their beliefs. It is putting falsehood before their eyes.
As the soul has not physical component, but is supposedly a part of the consciousness, one would assume it would go along for the ride.
However, I think I see what you're getting at: This method could, of course, create multiple versions of the same consciousness. At that moment the new multiple individuals would essentially become different persons with the same past history.
From a theological standpoint, there is no reason to think that God would not create a soul for each individual, or that He would not have foreseen this development in the first place. The alternative is sentient beings without a soul, and this is something I find more difficult to contemplate.
Star Trek, as popular as it is, is pure atheistic materialism in philosophy.
...
There is other science fiction with religious themes.
Uhh...it is fiction. lighten up.
That's assuming there is such a thing as a soul..Considering all the violence that is going on in this world, I'm inclined to believe there is no such thing.
"Lighten up Francis."