Liberal middle class feminist politcal power, is not as much of a force to reckoned with like it was during the early 20th century, and even a little beyond. It is dead. I haven't talked about oppression points, but I am sure you have your conscience pricked every once in a while, into feeling a little guilty, about the lives of your more oppressed "sisters".
Since some middle class feminists did not seek to actually challenge class differences but instead reinforce them, then of course it was up to working class women to maintain a seperate identity, in relation to the term "feminist". Co-operation, yes, but that should not have been seen as a way to drown independant initiative on the part of working class women, more vulnerable to the problems of poverty and shite employment. As it did in some cases.
Why I would want to "triumph over a woman" I do not know, what you mean by that to be honest. But if to be aware of class oppression, conscious through personal experience, more so than reading fusty journals, of the matrifocal realities of poor families, and to try and achieve any triumph that men (aware of their sisters' position under patriarchy) and women of the working class can have over the restraining aspects of their working and personal lives, then I am all for it.
The problem is sustaining such action. Such is the divisive nature of this society.