Capitalism, Socialism, Glass Ceiling

Two main manifestations of contemporary 'Sexism'--the treatment of a woman as a sex object, and the 'glass ceiling'--originate in the treatment of women as private property for reproductive purposes.  Now, according to Marx-Engels, that ownership is the foundation of all private property.  Thus, in Socialism, which entails the abolition of private property, there is no such Sexism.  Or, put otherwise, the glass ceiling is peculiar to Capitalism, and the preservation of the latter has priority over the smashing of the former.