@Metaphor I would avoid the fallacy of reification, here. By the word "gender," we are literally referring to something that is done by the delicate microstructures in your brain. We cannot even come close to examining it closely without diffusion tensor imaging or something even more advanced. For reasons that are still not well-understood, your brain usually knows what sex you are, but sometimes, it is reversed.
The behavior caused by this reversal is weird, but it is also manageable. Young people can be "socially transitioned" early in life. In fact, if we did not have the technology that we currently have, then social transitioning alone might work in most cases if the people around them were open-minded and decent. Regardless of why, the system works, at least if getting people to live longer is what you are trying for.
It's just another issue like the blind spot in the human eye. There is no "intelligent design." We are not a "perfect creation." We are born with bugs, of one kind or another, all of the time. The fact that gender dysphoria pops up, every once in a while, is just another example of that.
Social transitioning of transgender kids, though, is really the easiest bug-fix ever.
Anyhow, gender is real, but nobody can really show it to you, in the literal and physically manifest version, without having you slog through several hundred pages of diffusion tensor imaging research.
The concept of "gender" that is being peddled by, as you call them, "trans-ideologists" is just a very sloppy metaphorical explanation for the same thing, but it should not be taken too literally. Unfortunately, transgender people are just as human as any other humans, and most humans believe in one kind of magical thinking or another. Transgender people are no exception. They often take the metaphorical explanation of "gender," and they turn it into a patently ridiculous system of magical thinking.
Well, that problem leads you to thinking that the whole thing is sketchy, and I get that. The problem is that you are partway right, just not entirely right. They take the metaphor too far, and they take it too literally. They make it sound like the whole thing is made-up.
Either that, or they go into some sort of deconstructionist parallel universe, which I see as problematic and toxic. I think that deconstructionism is just as problematic as religion. In spite of what deconstructionists tend to think, the brain is not really just gray mud that you can shape any way that you want to. Contrary to what deconstructionists think, there are delicate microstructures in our brains that we are stuck with for life. 97-99% of us will always be "cis-gender." Those microstructures will always come out with a particular type of weird only once in a while. The deconstructionists are wrong.
Worse, the deconstructionists make it harder for people to see the underlying empirically self-evident truth. Again, the only way that you can look at the cause, in the literal sense, is indirectly through diffusion tensor imaging studies, but what is a little bit easier to observe is that socially transitioned kids live longer and have less coping issues. The American Academy of Pediatrics recommends something close to what I am talking about, here.
https://pediatrics.aappublications.org/content/142/4/e20182162 (DOI:
https://doi.org/10.1542/peds.2018-2162)
Again, transgender people are still people. People cannot really understand most things without some kind of metaphor, but if you give them a metaphor that they can use, then they are probably going to try to take it literally, which leads to magical thinking. People can be like that, and I am afraid that transgender people are not always exceptions. They are not always going to be the kinds of people that are going to be receptive to the complicated truth. You could not reasonably be considered to be at fault for that, so I suggest picking your battles.
"Gender" is both a very messy metaphor and something that is based on a real thing. It's a bad metaphor, but it's the best metaphor we've got. The real explanation takes too long for most people. I get exhausted even trying to explain all of this stuff to other transgender people that are reasonably intelligent.
With warm regards,
Sigma