Thank you Spero 
"One key focus/purpose of this group is to have discussions as openly and publicly as possible; to reclaim discussion of this area of law as a natural and necessary part of a mature secular democracy."
Yes! This is so important.
"We should argue that it is necessary to turn around the current EQA position, ie reverse the default position. Now it is unlawful to discriminate on grounds of sex except in certain limited circumstances, and the onus is on service providers to prove that they need to provide single-sex services. Instead, the starting position in law should be that service providers must provide single-sex services for women and girls for x, y, z cases. Possibly there could be some limited exceptions allowing service providers to not be single-sex, but the onus would be on the providers to prove why they should not be single-sex, rather than the other way around, and to provide serious safeguards. So overall, single-sex would be the norm and the right of women and girls for single-sex provision would not be qualified."
Yes, it would make perfect sense to have single-sex as the norm in services that are intended as such. It can't be an ongoing negotiation that requires constant vigilance and guessing, like it is atm with council policies etc.
"We can consider whether we could improve the lives of people who don’t conform to sex-role stereotypes by strengthening sex discrimination legislation or guidance. Eg, protecting both women’s and men’s right to wear what they want in the workplace. We think there are real possibilities for taking a feminist approach by protecting women’s and men’s rights to free expression in their appearance or behaviour, without any reference to whether it is necessary to identify as the opposite sex in order to behave in atypical ways."
And yes to this as well. The protected characteristic of 'gender reassignment' is limiting and regressive. It creates an absurd situation where people can/must invoke association with 'trans' in order to express themselves freely. It's anachronistic.