In the UK Labour are currently getting hammered in the polls by doing that, specifically chasing after what have been called Red Wall voters with what could most charitably be called anti-idpol policies. Having lost the Hartlepool by election and are now on course to lose the Batley and Spen by-election next week, they might want to reconsider.
Most tellingly, they consider Palestine to be an idpol issue, and are losing votes from both younger people and South Asian people in Batly and Spen who consider it to be important. George Galloway has taken advantage of this and it is expected that the split will give the long time Labour seat to the Conservatives. I probably dislike George Galloway more than I do Keir Starmer, George is far too auth-left for my liking and he’s also a blatant transphobe.
My earlier comment pointed out that under normal two party political circumstances (like when the right wing party is not being taken over by fascists), a right wing candidate can outmaneuver a left wing party that has gone too far right and make some superficially centre-left policies that don’t go against party policy to steal some of the disillusioned voters, which may be enough to swing an election in their favour. This is what the Conservatives are doing here. Sinema and Manchin aren’t doing this, they seem to be right wingers who ignore Democratic policy in an attempt to be moderate Republicans in states where they couldn’t win a Republican primary.
Transgender people in the UK are finding out how that attitude can harm people. We have been asking for rights for the last 30 years, and rather than getting them (the 2004 Gender Recognition Act has major flaws that were pointed out at the time, we were told to wait by the moderates) we are now facing a rollback to being second class citizens* at best and criminalisation if the worst of the TERs get their way.
* British people stopped being subjects of the Queen 40 years ago. I don’t care what the Brexiters want, I do not consent to being a subject of anyone and will resist any attempt to make me one.