I think men can be supportive but to push their way in and claim "I'm a feminist, so listen up Galz" just perpetuates the status quo, where men feel they have a right to speak and women have an obligation to listen. I can hardly turn up at a gathering of black women and say "listen up, I'm a black women" I can still support their cause but I will have to listen carefully if I am to understand the specific problems they face.
I do think though that feminism in its present form, divorced from other struggles is not going to achieve its aims. But neither will any other single issue cause. As someone said upthread, there are many women who have economic class privilege who don't see any need for feminism, just as there are many working class men harmed by capitalism and patriarchy who also don't see a need for feminism. Gondaleeza Rice is a privileged black woman, does she worry much about the subjugation of other black women? What is really needed is an acknowledgement that 90% of us work and are exploited, 10% grow very fat from that. Within the 90% there are a huge array of people, men and women, old, young, white, black, gay, straight, enlightened men, and misogynist men and women who have internalised sexism, unless we have economic equality there will always be a women somewhere of some race that will be exploited & subjugated by someone including other women with whom she will never have equality.
Just as in fighting within feminism itself benefits patriarchy, infighting between the liberal inspired multitude of single issue activism and political allegiances benefits patriarchy and capitalism, so we have little hope of achieving our aims. Unless we listen to each other and find some way of working together, instead of seeing partial gains to women as loss of privilege to men, or RadFems feeling threatened by transwomen.
But do we need men to call themselves feminists? no. We need them to listen & understand or better still allow women the space within society and within all activism to be equal, not just feminism. For that to happen men need to take a step back and make the space for women to be heard.........everywhere, in every struggle, in every home and workplace. (if only !) & until that happens who can blame women for wanting feminist space to be women only.