How can America prohibit sex-segregated institutions ?

Is there a right POD for the American Congress or the Supreme Court to prohibit sex-discrimination entirely by refusing services base on gender and identity ? This include institutions such as all girl's or all boy's schools, toilets, showers, and other services and public or private places that bar people base on gender.
 
I feel like this might be doable in the 1970s at the earliest. Before that, "feminism" per se has yet to be developed and "separate but equal" to be thoroughly discredited.
 
How CAN they do it? They pass a constitutional amendment.

Note, however, that it is ASB for this to go through. For starters it would outlaw the Roman Catholic Church (at least all its priests). Just for starters.
 
How CAN they do it? They pass a constitutional amendment.

Note, however, that it is ASB for this to go through. For starters it would outlaw the Roman Catholic Church (at least all its priests). Just for starters.

Which is hard unless America decided to go a more progressive route with deism. Would that ease the backlash ?
 
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