It's possible to make predictions and arguments about how letting women vote would affect society, or men in particular. But the people who fought for women's suffrage did so on moral grounds of equal rights; even if they had believed suffrage would in fact harm society in some way they wouldn't have changed their minds. Fiat justitia ruat caelum.

Christianity is even more clearly about moral precepts and not about "worldly" benefit. Anti-slavery is too, although the US civil war mixed that up with a lot of other causes. About Prohibition I don't know enough to say.