For this liberal, the patriarchy will be elimated by working with the other stakeholders.
the end aim is the same. Just that I can't see any realist way of achieving the elimination of the patriarchy utilizing any radical methodology. I love the idea of separatist communes, but the reality would be that they would exist (and do exist) as a niche choice. In the grand scheme of things, they make a great deal of difference to those within the walls, but none to those outside, which is where is truffle to see it as a radical choice to make a difference to society.
I may even be tempted to spend some time in one myself, but I wouldn't see it as in any way likely to rupture the patriarchy at any meaningful level.
I think this 'how' question gets to the very root (ha) of the difference between radicals and liberals. We all want the same thing (a society where gender does not exist), but liberals feel the only possible way this can come about is by engaging with it as it stands in order to change it, because there doesn't seem to be a more realistic option.
It's very sad. If there was a big red 'equality' switch, we'd be right there.
All of this is my own pottering, mind, and has bigger all to do with how any other rad or lib feels. I personally believe there's not a lot of difference.