I think this 'live and let live, but don't pretend anyone has changed sex' is the majority view.
The 'moderate' progressive view is 'yes, but is it the most important thing?', 'How can we tell?' 'How can it be implemented?'
These MPs are hard core TRA in that they are making it the most important thing, and believe stopping Eddie Izzard following girls into public toilets is against his human rights.