Transactivists wish to redefine women in their own image
I'd be interested to hear more about that?
What I see in much of the materials expressed online (most relevant to me because these are the groups actively circulating material, definitions, liaising with the NHS and government and regarded as leaders in policy change) and in the OP's posts, is that there isn't a level playing field or equality but a hierarchy of the category 'women' where transwomen outrank biological women.
There is a strong expectation of service to be provided by biological women in surrender of rights, language, unconditional approval and support, and that trans issues must be centered in all matters at all times, and this is explicitly stated (if it doesn't centre transwomen it's not my feminism).
Transwomen's feelings are described as to be accepted, treated with concern by all women and necessitating action. It is taboo to question them - on this thread it's been called 'unkindness'. Biological women's feelings however are seen as unimportant. Has anyone ever seen a trans organisation addressing, empathising with or even listening to women's fears about men in women only spaces? It's not only ok but encouraged that biological women's feelings should be treated with argument or dismissal, and the orthodoxy is that they should be forcibly overcome by legislation so women have to get over them.
The cotton ceiling is a strong example: (lots of evidence available on this via Google). The orthodoxy is that biologically female lesbians should be ashamed at their refusal to accept sex with women with penises, because this is upsetting and invalidating to the woman with a penis and denies them the sexual partners of their choice (biological women.) In this it is explained why it is ok for transwomen to specify they have a preference for biological women, but that biological women may not have the same autonomy or choice. The biologically female lesbian's feelings should be overcome by rigorously questioning and overcoming her learned invalid social prejudices (in one article on this, a transwoman who self defined as a lesbian stated with some indignation that they 'resisted the penis') and they have a duty to sexually provide for those women with penises. Their sexual attraction is irrelevant, it is about social duty.
Where biological women question or refuse to accept the rules of this status they are being unilaterally assigned, or maintain boundaries, they are named 'terf' (see the meaning and purpose of 'hate speech' and a generalised label to dehumanise a group) and a single brief Google of the term 'terf' or search on Twitter will enable you to find very easily indeed very frequent threats and comments about punitive rape, beating, punching, 'bloodying', 'dirt naps' and other euphemisms for murder, as justified towards non conforming women. This is towards women only . There are no such threats towards men, when the source of violence and murder towards transwomen comes exclusively from men. If anyone has ever seen a threat or suggestion of any violence from a biological women towards transwomen please do share the link. I haven't yet.
So in this hierarchy the women who were born with penises have rights and power over the women born with vaginas. They have choices biological women are justified as having withheld from them. They are entitled to threaten and commit violence against those biological women to punish non conformity. Biological women have an assigned role to provide support, run and cede facilities and organisations to do this, and to willingly accept their lowered status. The lyrics of Ru Paul's song 'step your pussy up' (lyrics of the first verse: all you biological women who used to have the upper hand) demonstrates this enjoyment and intent of not equality or joining but dominating biological women.
There are (very old) words for this.