The thing is, this lobby views 'the support of parliament' as:
"Fuck women, homosexuals and everybody else, we'll destroy their rights because they're just bigoted scum and we love you most of all, no one else matters, women must submit and obey to men doing whatever the fuck they want with women and women's spaces and homosexual people must be forced to 'learn to cope' with being straight (but pretending).".
Nothing else will do, let's be honest about this. Their whole problem is forced equity of consideration with others as opposed to unconditional primacy and forced submission of all others to them.
The 'support of parliament' rationally will mean ensuring third spaces and additional services. Which is a whole lot more than excluded and harmed women got when the TRAs were controlling women's spaces and resources. It won't be enough. And gradually parliament will realise what many of us have: that the people shouting at the front of this movement are not icons of stability and this is a black hole of needs and demands that nothing will ever fill. The only thing you can do is have clear, strong boundaries.