Because here's where the analogy with "peak Muslim" breaks down utterly. The BBC commissioned a survey a few years ago (I think partly as a response to all those dreadful Daily Mail/Express entirely fabricated scare stories about "Sharia courts in Britain"). Not surprisingly, most Muslims were quite happy with British law, hardly any wanted Sharia law, and women in particular tended to say they were very much in favour of divorces being handled under British law rather than Sharia, because British law gave women more equitable settlements.
Now, there are of course a handful of extremists - but they don't have the ear of government, they aren't pushing their extremist agenda on moderate Muslims and the broader secular society by a process of institutional capture.
I suspect that in social terms the trans community is similar. I suspect that transwomen like Debbie Hayton whose views are moderate are in the majority.
It's also the situation the law of the land (as opposed to its misinterpretation) currently allows for - the GRA creates the legal fiction of gender reassignment, and the Equalities Act of 2010 says that in most, but not all circumstances, the protected characteristic of gender reassignment entitles someone to be treated as the sex they identify into, rather than the sex they were born into. But (and this is the crucial but) sex is also a protected characteristic, and services and facilities can be sex segregated and exclude people with a GRA, where a proportionate need for single sex provision can be demonstrated.
This (going back to the religious analogy) is a sensible compromise. Rights of two separate groups of people are balanced, weighed up, and scope for dealing with conflicts of rights is left open for sensible legal judgement to be made. (I know there are feminists here who disagree with me on this, and think even the GRA is a step too far, but pragmatically it's a compromise I can live with.)
But here's the thing - it's the extremists, the TWAW in all circumstances adherents, who are pushing the legislative agenda and succeeding in institutional capture. This is why we are ending up with male-bodied rapists like Karen White being placed in women's prisons, with West Yorkshire Police harrassing people for opinions on twitter (not threats of violence, simply opinions). That's why people talk about "peak trans" - because the legislative agenda is not being driven by the sensible, middle of the road majority, but in this instance by extremists.