Sentence:  The underlying argument is that if gender relations were altered at the level of social structure (ie, in the social institutions of the family, workplace, state policies, the courts, and media)<!--gfd-->, a more <WSD>gender-free</WSD> world would eventually lead to <WSD>gender-free</WSD> parenting. 
Meaning of the word marked with <WSD> tags:  Which does not define people on the basis of gender; in which gender is not present, or is insignificant or irrelevant to people's lives and choices.