It is going to be very difficult to restore 'sex' to its proper place and meaning and I think now cannot be achieved without new legislation. The Lady Haldane judgment confirmed what I had always thought - that the GRA changes your legal sex, unless the exceptions apply. Those exceptions have now been muddled and obfuscated over decades leaving everyone very confused about when they are allowed to insist on single biological sex spaces or providers.
I suggest repeal the GRA and modify the Equality Act to make 'gender identity' no more than a protected belief. I.e. you are protected against harassment and discrimination but 'gender identity' cannot be an organising category in the way that sex is.
We will have to have some way of providing recognition of a 'legal sex' unless we leave the Council of Europe and the ECHR - the Goodwin judgment of 2002 was a recognition that the UK had failed to protect the rights of transexuals to be able to hide their birth sex on official documents etc.
So I would suggest a procedure to obtain a 'Certificate Changing Legal Sex' (remove all mentions to gender, its hopelessly poisoned now) which would enable a person to change a driving licence and passport. Birth certificates must remain unchanged but we could issue 'short form' birth certificates which didn't mention sex at all if people were upset by that.
Keep the gender dysporia diagnosis and 2 year reflection period - junk 'living as a woman' as no one knows what that means. That should hopefully weed out at least some of the malicious and the sexual predators.
Make sure that the EA sets out very clearly when biological sex trumps legal sex.
I have no idea if these proposals would work or be accepted by many/any. We should have been having these conversations since 2018 at the least. Hopefully we will start now.