So, to continue with "just mentally ill sex perverts."
I will repeat, I don't think anyone who participates in these threads has ever said that, and I think the claim exists solely to dismiss the legitimate concerns of the people who actually have expressed those concerns. However, as with any straw man, it has to at least resemble the real arguments at least a little, so let's go into this. I'll discuss two related issues, which are whether trans people are mentally ill sex perverts, and whether anyone in these threads have said they are.
Are trans people mentally ill?
Some forms of mental illness have an element of delusion, believing things that are obviously not true. There has been a lot of talk about delusions at various times in these threads. Most of it isn't really about trans people themselves. It's more about characterizations of trans people. It is sometimes said that transwomen are "men who think they are women". People may have said that in these threads. I may have said it at some point. If so, I was oversimplifying things.
I think trans people have no delusions about what they are. They know their own bodies, and they know the way they feel about their bodies. That's not delusional.
On the other hand, if they are suffering dysphoria about their bodies, i.e. if the actual, known, state of their bodies causes them anxiety, that's an anxiety disorder, isn't it? There's a stigma attached to the phrase "mental illness", but that's what we're dealing with, isn't it? There ought not be a moral judgement associated with that sort of thing, but there is a reality involved. People with gender dysphoria have dysphoria. Many of us have said that, and it's rather obviously true.
So, are trans people mentally ill? They have dysphoria, a condition which causes them anxiety and makes their life difficult. Whether or not you describe that with the emotionally laden term "mental illness" doesn't change the reality of their condition. So, I suppose I would say that they are, I guess, mentally ill.
The most important thing is that a claim of mental illness should not be used to dismiss their concerns or issues. There are people who would prefer to be treated as women, despite being male, or as men, despite being female. The people who have participated in this thread and its predecessors understand that, and are willing to go along with that, to differing extents. The question of whether or not transgenderism is a "mental illness" is a rather academic one. Whatever one says about it, they would be happier to be treated a certain way, and all of us here are willing to do so, to some extent.
How about "sex pervert"? Are trans people "sex perverts", and has anyone in these threads said that they were?
Once again, we have an undefined term. In the modern world, the description of "pervert" isn't one that is actually used by most people, and isn't a really recognized concept anymore by most of us. Once upon a time, it meant anyone who was sexually satisfied or aroused by anything other than heterosexual, monogamous, sexual intercourse. Then, people started researching things, and it turns out that describes almost no one. We're all perverts. With that realization, we've grown to accept almost anything.
So does the word have any meaning, and does it apply in the modern world, specifically to anything to do with transgenderism?
I think the only taboo in the modern world is anything non-consensual. Rape is the most obvious of those, but voyeurism and exhibitionism are also nonconsensual, or at least can be non-consensual. I'm going to add one more category, which is "creeps". That's also a pretty undefined term, but I'll give a shot at defining it. By "creep", I mean someone who introduces a sexual or erotic element into an interaction that is not sexual, in a way that causes discomfort to others.
The guy who leers at women is a creep. The guy who makes dirty jokes around people who don't appreciate it is a creep. The guy who describes his sexual exploits, desires, or attributes to people who aren't interested is a creep. The guy who continually asks a girl out or who makes unwanted sexual advances after she has made it clear she is not interested is a creep. I say "guys", but women can do this, too. They don't, very often, but they can. This sort of "creepiness" is a form of nonconsensual sexual interaction.
What has come up in this thread is that all four of those categories can be found among the transgender community. There are rapists, voyeurs, exhibitionists, and creeps. That has been a topic of discussion in this thread and its predecessors. No one has said that transgender people are perverts, but a lot of people have said that there are perverts among transgender people.
The problem with the transgender rights activist position, which is that transgender people should be treated in all ways as their adopted sex, including access by males (transwomen) to female only spaces, is that these "perversions", i.e. the tendency toward non-consensual activity, including "creepiness", is far more common among males than among females, and this doesn't change if those males identify as females. Simply put, there are a fair number of creeps, voyeurs, exhibitionists, and the occasional rapist among males, including among transwomen. Female only spaces can provide a refuge from creeps, but not if males are allowed inside of them.
In other words, no one has said trans-people are perverts, but several people have said that there are perverts among trans-people.
To summarize, the idea that people say that transgenders are "just mentally ill sex perverts" is a straw man. No one in these threads believes that or has expressed it. We all recognize that transgenderism exists and that the feelings of those people are valid. The actual, real, position that is being mimicked by the straw man position is that allowing male access to female only spaces erodes barriers that protect females from the sex perverts that do exist, both within and outside of the trans community.