There is / has been a movement within feminism encouraging women to abort male babies with the goal of creating a world with a male population of less than 10%. It sounds crazy I know, but what the Nazi's proposed also sounded crazy in 1935.
No. Very few women would like it. Only a handfull of men with mental problems would go for it. - - - Updated - - - People propose all sorts of things that are not going to happen.
I think that feminist group in the OP goes way beyond equal pay for equal work. They are man-haters pure and simple if the flaming crimson haired, potty-mouthed harpy is their representative. IMO she is doing more to debase feminism than any pro-male group. In fact, I believe she borders on psychopathic behavior and should be assessed for mental illness.