> Identity is irrelevant to reproductive role, and sex is about reproduction, and gender is about sex.

Every part of this is wrong.

First, let's look at sex. You've said sex is tied to reproduction (as an aside, this feels a bit cruel to all the infertile people out there) but that's wrong.

https://www.who.int/genomics/gender/en/index1.html

> Humans are born with 46 chromosomes in 23 pairs. The X and Y chromosomes determine a person’s sex. Most women are 46XX and most men are 46XY. Research suggests, however, that in a few births per thousand some individuals will be born with a single sex chromosome (45X or 45Y) (sex monosomies) and some with three or more sex chromosomes (47XXX, 47XYY or 47XXY, etc.) (sex polysomies). In addition, some males are born 46XX due to the translocation of a tiny section of the sex determining region of the Y chromosome. Similarly some females are also born 46XY due to mutations in the Y chromosome. Clearly, there are not only females who are XX and males who are XY, but rather, there is a range of chromosome complements, hormone balances, and phenotypic variations that determine sex.

You've then said that gender is tied to sex, but that's only true in some countries at this point in history, and it mostly stems from Christian colonialists imposing their view (often using violence to do so) across the world.

https://www.who.int/genomics/gender/en/index1.html

> Gender, typically described in terms of masculinity and femininity, is a social construction that varies across different cultures and over time. (6) There are a number of cultures, for example, in which greater gender diversity exists and sex and gender are not always neatly divided along binary lines such as male and female or homosexual and heterosexual. The Berdache in North America, the fa’afafine (Samoan for “the way of a woman”) in the Pacific, and the kathoey in Thailand are all examples of different gender categories that differ from the traditional Western division of people into males and females. Further, among certain North American native communities, gender is seen more in terms of a continuum than categories, with special acknowledgement of “two-spirited” people who encompass both masculine and feminine qualities and characteristics. It is apparent, then, that different cultures have taken different approaches to creating gender distinctions, with more or less recognition of fluidity and complexity of gender.

https://gal-dem.com/black-trans-lives-matter-we-cant-let-the...

> There is a particular, deep-rooted racist violence in the UK iteration of transphobia. The invention and export of the concept of a rigid and oppressive gender binary was used as a device of subjugation throughout the British empire during colonialism. This included the attempted eradication of ancient and deeply spiritual understandings and lived realities of gender fluidity, including among two-spirit people in indigenous North American cultures; fa’afafine people in Samoa; nat kadaws in Burma, and hijras in India, who were criminalised during British colonial rule by Section 377 – a law used after a rebellion to “reassert colonial authority”.

You've said that identity is irrelevant to reproductive role. That's wrong, which is why there are trans-fathers who give birth.

https://mana.org/healthcare-policy/use-of-inclusive-language

> The signatures below indicate affirmation and respect for people of all genders; full agreement regarding the use of gender inclusive language in the MANA Core Competencies and in all documents regarding the profession of midwifery and provision of midwifery care; and the welcoming of transgender, genderqueer and intersex people into safe, culturally sensitive, shame-free reproductive health care. We do not refute the “life-giving power in female biology.” Rather, we support a larger vision that includes the provision of midwifery care to all pregnant and birthing people.

You may want to read this: https://www.nature.com/articles/d41586-018-07238-8