The simple answer to the OP's question is that, no, no JWs who are even slightly PIMI are likely to imagine the Org falling apart. They may think it will be attacked ("persecuted") - in fact, if they're "real" JWs they should be expecting that - but they would never dream that it might be caused to break up or falter, because they believe unquestioningly that Jehovah God and Jesus Christ are 100% with the organisation.
As mentioned earlier, most are probably unaware of the looming legal cases against the Org in many countries, but even if they knew of them they would just say it's part of the anticipated attack on them by Satan's system.
However, for reasons that have been discussed before, I think that's arrogance and hubris. In fact, as time goes by I expect the Org to be caused to totter, if not collapse altogether, certainly in its current form. That's because I don't think it is "fit for purpose" nor is it properly doing God's will, and all the evidence from the past is that anyone claiming to serve God but who proves false to that has to be "disciplined" by him, and the more their falsehood is the result of arrogance, stubbornness or even blasphemy, the more severe is the discipline that God provides.
The other way of looking at it which many exJWs would say is, it's just a group of men anyway, in which case, yes, it's even more likely to just be broken up or to fall apart sooner or later. No organisation stands forever.
Vander, when I was a child, a sister at our hall died... etc
That whole account sounds very weird, since none of what you describe has been part of JW beliefs for decades, if at all. "Inserting a soul" into the body? JWs don't even believe the "soul" is something that can be "inserted" or can "fly up to heaven". And there is nothing in JW theology that is problematic about seeing a fleshly body in front of you after someone has died, not even if they're supposedly one of the 144,000. Sorry, I'm confused...
What can happen with many JWs is they simply mistakenly substitute the concept of "soul" with "spirit". By that I mean, they might talk about someone becoming a spirit being or being "raised a spirit" as Paul mentioned (as in the case of one of the anointed) but actually picture it in a similar way to what someone who believes in immortality of the soul thinks of when they talk about the "soul ascending".
It's actually very hard for us as humans to comprehend "nothingness", so holding onto some idea of a "part" that continues on and "goes out" of our body is very persuasive and can easily become ingrained, especially if the JW has had a previous upbringing of believing in an immortal soul too.