Everything you need to understand or teach A World Between by Norman Spinrad.
A blurb on the 1986 paperback edition describes the book: "The war between the sexes has just come to paradise." This expresses the novel's primary theme, that there is a way for the two sexes to live together happily.
Compared to the extremes represented by the invaders (and also in much feminist science fiction of the era), it is a moderate, sensible way.
However, Pacifica, the planetary society which exemplifies it, may not be...
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Norman (Richard) Spinrad