Women only skew collectivist, politically, if somebody else is paying.

Men's self-concept skews both individualist ("I must be comfortable living with my decisions") AND collectivist ("I am an X and willing to sacrifice for the good of X).

Women's self-concept skews relational ("I am a good friend / good mother").

If forced to choose between the good of a collective and the good of social-relationship connections, women will overwhelmingly choose the social relationship (unlike men).

The difficulty is framing that choice that way in our centralised and high-time-preference societies.