You're referring to your belief about the real world, which is fine. (But I believe you'll find you'll "make more friends and influence people" if you internally accept the word "soul" as short-hand for the emergent property of living beings that is also known as "self-awareness" - as I do.Seriously though, nothing has a soul.
Why do you think that it is a real thing?
Where is the evidence for this thing you call a soul (Edit: For all of the above, either in real life, or in the world of Star Trek)?)
Soul is a slippery concept that philosophers have argued over for thousands of years. Certainly lots of people would go with USS Triumphant's definition, plenty more would go with the Western definition of soul as that special quality that God breathes into bodies at birth (conception? - not sure, Christianity confuses me on this one), plenty would go with the Atman idea of Hinduism - we are truly One with the Universal Soul in some way (this also appears to be the Vulcan religious belief - but it's not clear how exactly the katra fits into that). Others might just call it the human awareness of Self versus More than Self and the hungering of Self to merge with that More than Self, which is basically the spiritual impulse, which has apparently been present in every human society since human beings came to be.
What's fun about something like Star Trek is that you get to postulate how lots and lots of different cultures might conceive of soul (or not, as the case may be).