Yes exactly. There is another way:
deadwildroses.com/2019/10/07/handy-venn-diagrams-the-radical-feminist-position-on-gender/
The problem with American politics (and the enormous influence of American culture in the UK) is that they only offer two options. Both options centre around a belief in innate gender stereotypes:
Either you ensure your personality fits the stereotypes associated with your sex (ranging from relatively mild traditional sexism; through Trump; religious nutjobs prohibiting abortion and homosexuality; to extremists keeping women enslaved indoors and silent)
Or
You declare that your sex changes to match your personality (ranging from gay men / lesbian girls attempting to escape deep rooted homophobia; through fetishist males seizing the opportunity to gain cultural capital and oppression points in an era where "straight white males" are supposed to be checking their privilege; to outright abusers claiming a special identity to access vulnerable women or children / avoid male jail).
Both these positions serve the patriarchy. If the first group would see it's women kept at home for use by their husbands, the second would demand the use of women's bodies for validation in sharing spaces, sex work and surrogacy.
If you had a kid in America who was autistic or gay or even simply non conforming, I can understand why in the very immediate term Trump might feel the safer option. In the vanishingly short years of adolescence, a child's future health can be destroyed if they're unlucky enough to be influenced by adults with a fervent belief in gender ideology.
Obviously Trump doesn't give a shit about women. He changed his position on trans rights to "reality" when he saw which way the wind was blowing.