Since it has suddenly become relevant, here are two results from this year's survey (data still being collected):

When asked to rate feminism on a scale of 1 (very unfavorable) to 5 (very favorable), the most common answer was 5 and the least common answer was 1. The mean answer was 3.82, and the median answer was 4.

When asked to rate the social justice movement on a scale of 1 (very unfavorable) to 5 (very favorable), the most common answer was 5 and the least common answer was 1. The mean answer was 3.61, and the median answer was 4.

In Crowder-Meyer (2007), women asked to rate their favorability of feminism on a 1 to 100 scale averaged 52.5, which on my 1 to 5 scale corresponds to a 3.1. So the average Less Wronger is about 33% more favorably disposed towards the feminist movement than the average woman (who herself is slightly more favorably disposed than the average man).

I can't find a similar comparison question for social justice favorability, but I expect such a comparison would turn out the same way.

If this surprises you, update your model.