I still don't entirely understand how trans activists with a class analysis should now proceed in order to avoid identitypolitics. Should they focus more on where their struggle intersects with class, eg access to healthcare, housing, etc? What is it they should stop doing?
Crudely:
ID Pol: Trans people are oppressed because Cis people oppress them. Cis people need to stop being bad people and check their privilege and not oppress trans people anymore.
Class analysis: Trans people are oppressed because capital finds it useful to divide people along binary gender lines and trans challenges the gender binary and the power that capital has to use that gender binary to divide and rule us.
This obviously leads to very different outcomes in terms of focus and action. Someone following IDPol would support a trans capitalist as someone not oppressing trans people, whereas a marxist would see the structural role they play in capital as the means/method (?) of oppression, and the trans nature of the capitalist does not remove their role in oppressing. Similarly a cis working class person is not necessarily oppressing a trans person (they can be of course through transphobic actions, but not purely by nature of their cis identity) but for an idpol viewpoint they are by virtue of their cis nature.
avoiding idpol is about avoiding the individualist, agency driven, liberal ideology, not about the specific issues that are addressed or how they are addressed. When placed in comparison to marxist class analysis the key thing here is that class analysis is a communal, structure focused, socialist ideology.
You want change then for idpol it's about the individual changing ("check your privilege" = educate yourself, always with liberals the issue is ignorance the answer is education - no structural analysis at all); for marxist it's about the relationship between the working and capitalist classes. Ultimately for some the full change can only happen in the transformative process of revolution (which comes purely from the contradictions of capitalism generated by the class structure), which is the purest expression of this idea. For most change can come within capitalism but that change happens from pressure on capital to accede to the demands of the working class, which absolutely can include ending all the identity based oppressions.
edit: If you have a class analysis you will not, by definition, be following IDPol, as IDPol explicitly rejects class analysis.