I recently wrote a piece in which I made the case for being a 'gender egalitarian' - and haven't seen it used as a phrases anywhere else on Medium.
I think these things are interconnected - but I disagree that you can solve them in an interconnected way. This is what the left has been trying. If you try and solve the oppression of women - then you, by the very nature of what you're doing, get caught up in discussions with minority men. Progress is stymied whilst you try and work out whether black men or white women are more oppressed - we saw that in action in New York's Central Park a few years ago.
Life may not happen in neat little boxes - but that is what intersectionality is. It's an insistence that there are tiny little boxes of oppression which require an order or hierarchy. That's where the identity politics discussion is leading us. In essence, you're asking for a global solution to a large problem, but also the right to view the world and these problems according to little boxes of identity. I am arguing for the right to remove those boxes of identification so we can tackle the global problems in discrete sections ways using the basis of liberalism and human rights to do so.
Socialist is the closest label I have - but as with all these things, my views are complicated. Always nice to have reasoned debate though and thanks for the response. :o)