I'm sympathetic to much of what you say., and agree the left have gone a bit mad. Where I think your argument is weaker is around terms like Women of Colour. In your first post explaining it, you said that it inevitably labels people as victims. In your second post, you say: - "Women of colour" is the phrase used to make you think and feel a certain way and behave a certain way about a particular type of person, thats the authoritarian part."
Both posts imply that a fixed, even forced, set of thoughts come with the label. This is not true. These are your and society's stereotypes, and you should own them. And indeed using these labels is one way to make those stereotypes more visible. When I think 'women of colour' I don't think victim, I think instinctively of beauty, pride, cultural richness and consciously challenging structural disadvantage and racism. And yes, I realise these descriptors may irritate you, because you may ask 'well aren't the rest of us?' But that's not the point. The point is you should not assume that your judgements have to go along with the label, but rather examine those judgements, challenge them in yourself, and be willing to reinvent them.
Being able to name yourself is a very important step in being able to say you are not invisible. It allows you to form coalitions (rather like the collective bargaining you support!). It asserts that other people don't get to name you and decide what you are and what is important for your experience. ("Coloured women" by the way is a label others have imposed in the past, including in South African apartheid, rather than "women of Colour" which is owned by many of those women and has a much more self-assertive ring to it. That is why the former is no longer welcomed by many).
Indeed, you could apply all the same thinking to our need (and right) to name oneself 'women' overall, which you do appear to approve of. This is the identity politics you seem to want to otherwise eradicate. Using this subdivider of the human race allows you to talk about women's issues. And say that being a woman is part of your identity and politics. That sex (just like race) matters. The fact that there is a huge diversity within the group doesn't matter (yes there are all kinds of women just as there are all kinds of women of colour). The fact that some people outside the group sometimes also experience some of what we experience (eg men being victims of domestic abuse or rape) doesn't mean you are not allowed to talk about and focus on women. (This is your argument about white women also experiencing racism, in your view invalidating the label of 'women of colour'.) The fact that people hold negative stereotypes about women (hysterical, pathetic, kind, soft, victims...) doesn't mean you shouldn't use the label, as you imply it does for 'women of colour'. And people telling you they despise the use of the word 'woman' because they want it eradicated it or see it differently to you, would be most objectionable, wouldn't it? So why are you doing it for 'women of colour'?
And before you say but 'women' are biological facts, while Women of Colour is just a societal construct, this is not true. Women of colour have highly diverse beauty, skin and hair needs- but they are united by not needing or wanting what white women want, which is still the majority/default supply in many countries. Finding suppliers that cater for women of colour is much harder if you can't look for that label or similar. And the issues go way beyond beauty. For example, Black women are far more likely to get triple negative breast cancer than white women (the most severe kind). They are also more likely to get it younger (so need Mammogram screening earlier - they are currently badly let down by the age guidelines in the UK and US, which cater better for white bodies. Their symptoms can also show up differently, leading to ill-trained doctors educated only about white bodies, to misdiagnose. The medicines are also less well suited, because white women are disproportionately represented in medical trials, (just as they used to test women's drugs on male bodies!) All this, plus socio-economic difference correlating with race, and the institutional racism they face in care, means Black women in the USA are 42% more likely to die of their breast Cancer than their white counterparts, for example. These inequities are mirrored for many women of colour. Being able to talk about Black women and their unique health needs - to educate doctors and enable more empowered self advocacy is hard to do without dipping one's toe in the identity politics you despise.....we need to be able to say 'women of Colour exist, matter, and sometimes have specific histories or needs that deserve attention.'
It sounds like you are saying it's ok to advocate on the basis of sex, but not race. If so, ask yourself why.