Counterargument: Gender is not a stand-alone reason for the move towards socialism.
70% of those voting in 2022 were women
68% of those voting in 2022 were men
https://www.statista.com/statistics/999930/share-people-registered-vote-gender/
The errosion of Christian values and the traditional family unit has led to more women (and men) leaning democrat:
Married men and women are more likely to identify with or lean toward the Republican Party...while majorities of both men and women voters who have never been married and do not live with a partner align with the Democratic Party, never-married women are particularly likely to do so:
Women who have never been married are three times as likely to associate with the Democratic Party as with the Republican Party (72% vs. 24%).
By a narrower – though still sizable – margin (61% to 37%), never-married men also favor the Democrats.
Democrats have a substantial advantage among both women and men who live with a partner but are not married, and a narrower edge among those who are divorced or separated.
Widowed men tilt Republican (55% GOP vs. 44% Democratic, including party leaners), while widowed women are about equally likely to associate with the GOP or Democrats (46% and 47%).
A mathematical impossibility. You misstated your source: it said those figures are not for those "voting", but rather for those "registered to vote."