I see the EO as marking the turning point of a long pendulum swing. You fear the swing the other way - and so do I, and I suspect so do most people debating with you here. But for me, the time to try to slow the swing down is when it's approaching a midpoint between extremes, not trying to hold it at an extreme, or even try to drag it to an even more extreme position.
When I see signs that removal of legitimate protections of trans people is approaching, I expect to speak up in protection of them. I think this is similar to JKR's position, where she has stated that she will protect trans rights. But this area is one where competing rights are claimed, and a balance is needed. One ideological standpoint trying to dictate extreme policies with unjust consequences, as in Afghanistan (women being appallingly oppressed) or as in Australia (lesbians currently being obliged to include men), is asking for a pendulum swing that goes too far. Not much risk of going too far in a liberal direction in Afghanistan at present, but the fear of that among the Taliban is a factor.
Similarly there are in theory competing rights in play with abortion law; how much weight is given to women's "right to choose", and foetuses' status and "right to live", and various other issues, are ethical questions which are best answered by trying to understand and balance all the arguments, as we have done fairly successfully in the UK over the past 50 years. I'm wary, as a man, of bringing up abortion, but we have had a reasonably open and nuanced debate in the UK during my lifetime, and I wish we could do as well in other areas of debate. At least we are not being silenced any more.