The post you were referring to, the second post on this thread, is a factual list of things that have happened. It is not asking you to judge an entire group by the worst behaviour of some members of it. It is literally just stating things that have happened to women and girls, which were made possible because the global political establishment has imposed the idea that trans women are women on us.
Nobody thinks every white middle aged man is a paedophile (or every middle aged man of any other ethnicity, for that matter). But we do, as a society, accept that it is appropriate to keep all middle aged men out of spaces where teenage girls are getting changed. Consider a middle aged man who is a PE teacher, for example. The nicest, gentlest, kindest teacher you have ever met. Clearly he has no criminal record because he had to get an enhanced DBS check in order to get his job. He still stays out of the girls' changing rooms, for multiple reasons. For safeguarding reasons, yes. To protect the girls. But also to protect him from malicious allegations of improper behaviour. And also for the dignity and comfort of everyone concerned.
Who else is not allowed in the girls' changing rooms? Well, the boys, obviously. Again, for reasons of safety. We don't think that all or even most teenage boys are going to sexually assault their female classmates, but we know it's a risk so we keep these spaces single sex. As with the male teacher, it's not just for their safety, but also for their dignity and comfort. Because for teenagers going through puberty (at differing rates), it's often uncomfortable enough getting changed in front of classmates of the same sex, without adding classmates of the opposite sex into the mix.
Then there's girls and women with particular vulnerabilities to consider. Conservative Muslims whose religion simply will not permit them to be in a shared changing space with members of the opposite sex and will be forced to self exclude if they cannot trust that these spaces are single sex.
Survivors of rape and sexual assault who are afraid of men and feel unavoidably triggered by the presence of a male bodied person. This may be the case in a changing room, but is even more the case in a rape support group, where, by definition, every single person there will be a rape survivor, and have been raped by a male person. The Equality Act even recognises that this is one situation where it would be both legal and justifiable to exclude even trans women who have a gender recognition certificate from a women only service. It's written there, in the legislation, in black and white, as an example of when service providers should be able to rely on the single sex exemptions. And yet rape crisis organisations up and down the country are refusing to provide female only services and insisting that everything must be fully trans inclusive because the existence of female only support groups suggests that trans women aren't real women and is therefore inherently transphobic.
Having empathy for the women and girls in these situations, the women and girls who were the victims of the events described in the post you found unconvincing, does not require you to judge all trans people by the actions of the very worst of them. It simply requires you to think about why single sex spaces and services exist(ed) in the first places and what the potential consequences are if you make them mixed sex. And the presence of even one member of the opposite sex, however they identify, makes that space a mixed sex space as far as many of its users are concerned.
It does bear repeating that all of the things in the second post are things that have actually happened. So if your position is that most trans people are harmless, whilst I would agree with that, I would be interested to know exactly how many women and girls you think it's OK to harm before we say there's a problem and we need to find a better way of balancing everyone's rights and needs. A way of accommodating trans people without compromising the rights, safety and dignity of women and girls.
I would conclude by pointing out, as well, that from a safeguarding perspective, if you take the view that anyone who says they are a woman is one, literally anyone can be a woman just by saying they are. There's no purity test. When we allow trans women into women's spaces we're not asking for proof that they are using cross sex hormones or have had their penis removed, or plan to do so, or have been diagnosed with gender dysphoria by a doctor, or have obtained a gender recognition certificate or are in the process of getting one. Such a system would be unworkable anyway. We are taking it on trust that they are genuine.
And the problem with that is twofold. Firstly, they may not be genuine. If your nice trans friends can walk freely into women's spaces then so can Isla Bryson or even Levi Bellfield the day they get released from prison. There is no practical way of allowing some biologically male people into women's spaces and excluding the rest. So if you are letting some in you are actually letting all of them in, whether they are trans or not and whether they are dangerous or not. And secondly, even if they are genuine, the female users of that space have no way of knowing that. For a Muslim or a rape survivor, whether they are genuine or not may not even make any difference because their presence is still enough to ensure that she can no longer use that space. And for the rest of us, we just have to be on our guard, managing our own discomfort, not wanting to be transphobic but at the same time hyper aware that someone in that space is male and can therefore physically overpower and assault us should they choose to do so, and hoping that that is not their intention.
Ultimately, single sex spaces exist for a particular purpose, and allowing anyone to identify into them regardless of their sex completely undermines that purpose. You may as well make all spaces mixed sex and be done with it. At least then you'd have to acknowledge that you are excluding women who can't use mixed sex spaces from participating fully in society, instead of pretending that that is not what you are doing.
If you are a good faith poster, I hope my reply has given you some pause for thought. But honestly, I am just shaking my head at anyone who can read the second post in this thread - which is simply listing factual examples of things that have happened to women and girls - and dismiss it as bigotry. That, to me, is an indication that you don't see the problem because don't want to see it and are doing everything you can to make sure you don't see it.