The transplant metaphor doesn't work for one simple reason: there can be no distinction between body and soul/psyche.
Your body is the interface to the world. Now trans activists understand this in terms of how the world perceives their "psyche", but, in actuality, the body is the method by which the "psyche" perceives the world.
The body is eyes, ears, nose, mouth, hands, skin, muscles, nerves, bones, tendons -- all these senses and physicalities affect how an individual experiences reality. You change one of them, and the way you perceive the world will change, and that, in turn, will change your psyche.
Think of it this way. Say we all went to bed tonight and woke up tomorrow morning a foot taller. For me, I'd wake up 6'3.
That additional foot would radically change every moment of my life from that point. In the first hour alone, I'd have to navigate a world where everything was lower. I'd have to learn how to move appropriately, sit and rise, pick things up, how to dress and wash a body that was longer, I might find I needed to breath, eat, drink and sleep differently.
Everything that I am programmed to navigate in my life is based on being a 5'3 adult. You change that and all that programming, over years, goes out the window because it no longer works -- and that would change my psyche.
Because if I were taller, the world would be a far easier place to live in: driving, furniture heights, physical capabilities ... I'd be able to reach more, see more, move greater distances in shorter times. And that ease would percolate into my psyche, my personality. I'd probably feel a greater sense of "dominion" over the world.
And before you know it, I'm not Packing anymore. I'm a "Master of the Universe" Packing, who finds life easy, fairly safe (because who really wants to attack a 6'3 Amazonian?
), and can dominate any environment purely by virtue of my tallness.
And that's just with an extra foot of height.
So now imagine waking up in a male body. It's not just the average extra height; it's the lung capacity, the heart capacity, the upper body strength, the body density, the muscle mass, the shift in my centre of gravity -- all the messages my body sends me about the world would change dramatically overnight, and all that would affect my psyche in an enormous way. I would become a different Packing very quickly.
To do it the other way, from male to female ... I doubt many males would cope with it because, lets be honest here, women got the biology shit card, and most men have no idea just how shit it is.
This is where trans-ideology that fixates about transition falls down. You change the body, you change the interface you have with the world, which, in turn, changes the psyche through changing the messaging you receive about the world.
There is no "femaleness" without a female body because "femaleness" is built on the experience of reality delivered through the medium of the female body.