It's important to remember though that the UK is almost unique in having resisted this at all. In a lot of countries they are now fucked with self-id effectively constitutionalized, affirmation only therapy the only legal option, and amazingly even more capture of the media and institutions like the civil service. These are the kinds of approaches that Labour has been advocating for the last 10 years, and made it basically impossible for party members to argue against it while retaining any influence.
The Tories seem like they've been asleep at the switch, but started to wake up a full 5 years earlier than many other countries. And really importantly, while the arty has had a variety of views, they've let it be up for discussion. Which is why the things they were proposing initially got a second look.
They also have been in the last year making some substantial moves towards change. The Cass report being among the most important. This is going to be a long haul, it is tricky legislatively and will require a lot of very careful detailed work, and also institutions like education and the NHS, and maybe worst the civil service, have been severely captured, and they can't necessarily interfere directly with a lot of these bodies. In the end it will probably take as long to dig out of as it took to get there. 10 years, at a guess.
Labour may or may not be better on services - indications seem to be that don't really have any plans to do fund more - but I don't see how they is any reason to think they will be better on this issue. What it looks like is they will be a lot worse.