I'll be honest, while that is the most likely bet, the fact that they have a current civil war internally thanks to the trans vs TERF war, the TERFs themselves might change that

They might apply pressure to their cucked husbands to keep the conservatives in power as they'd rather have a government ineffective but cucking to them than risk the left allowing men in their spaces.

I hate all sides on this but better the side that at least recognises there's only two sexes than the one trying to rip parts off children..