Are there gender differences? Sure. We experience the world differently based on our genders. In my view that brings a balance to this world that is necessary.
You say "When female activists meet with verbal opposition — as anyone who watches student protests on YouTube can observe — they are far more likely than men to react emotionally, sobbing or screaming, which effectively shuts down any dialogue.."
Men and women both react emotionally. Women are more likely to cry and sob, men are more likely to react with aggression and anger. In all cases the logical part of the brain becomes disconnect and civil discourse becomes inaccessible.
I think we all have a lot to learn from each other, and rather than using our differences to shame and insult, and toss gasoline of the fuel of gender wars, we should endeavour to make some efforts to understand and appreciate one another and the balance and beauty each bring to the table.