Unfortunately, all the political noise is about gender rather than sex. Reproduction doesn't even ever the conversation. It's all about which restroom you should use or which sports team you should be on.
https://en.wikipedia.org/wiki/For_Women_Scotland_Ltd_v_The_S...
Though in practice I wouldn't be surprised if we eventually converge on "women only" and "unisex" as some sports have done. The risks posed by self-identification are very much one-way; this isn't a symmetrical situation.
My mental scenario is one of these guys trying to go into the women's restroom they are now legally obligated to use, and a whole bunch of bystanders bringing violence to the table to prevent it.
That's the desired outcome for them. They want us to either die or comply.