To address the worry of
@Quid est Veritas? that this belief might encourage born-again Christians to mistreat the soulless drone humans (such as myself), there is a possibility that the seed sown by God through the gospel may lay dormant in the soil of the human host before sprouting into a born-again Christian. So although the born-again Christians might be tempted to convert me into Soylent Green there would be the risk of destroying a potential born-again Christian in the process. This is similar to the Parable of the Wheat and the Tares.
That would be functionally no different from assuming everyone has a soul. However, we know that the soul only becomes operative in your scheme on faith - for was that not how it solved the problem of the condemnation of others? So a 'dormant soul' is a non-existent one, for it would be equivalent of the seeds strangled by weeds or fallen on the path.
You shall know them by their fruits - so people acting in immoral ways, would be soulless in a sense, if adopting this system.
I don't know if you are aware of it, but there are those who think that it isn't a soul that is condemned, but that which might have been one. It is the dregs of a person, as you only become really yourself in Christ. It is the effluvia of sins, opinions and such.
A good way to think of it is like the Khandas of Buddhism - heaps of ever changing ideas and self-referents confused for the self. Perhaps within that mess is the Soul, that on being saved, accrues good Khandas to itself, thus purefying itself for the hereafter. That the earth and our lives act as a crucible forging saints. Existence being dependant on God, cannot exist outside Him.
The dross that accrued to someone' soul without Christ, slowly decays and destroys that soul. Breaks it down, so that what could have been wheat, but ends up as tares, and gets burnt. Without it being able to commune with the godhead, as it breaks down, a point arrives in which its very existence become untenable as well.
It is worth noting that the Ancients, even the world's first real Botanist, Theophrastus, believed wheat changed into tares/darnell. They thought it depended upon the soil, weather and the nourishment received, which plant you would get if you sowed, but that the change was then permanent and the seed forever corrupted. Today, we think Agriculture selected weeds inadvertently that look like wheat, thus breeding a weed that survives by mimicking wheat in our fields.
Reading the parable with this specific background, makes one wonder if the tares mixed in with the wheat might not be the corrupted, trying to poison the wheat, before that which survives gets gathered and the rest discarded. It could be evil passions or opinions, or in the context of the discussion I had with my wife, psychopathic soulless people corrupting our world, perhaps due to the Fall. Usually it is taken as a call for tolerance though, as God would sort out his own in the end.