(1) Political organizing should happen off wiki, not on wiki. This is just as true for WikiProject Conservatism as it is for WikiProject Gender Gap Task Force. Wikipedia is not the place. Go for it, just not there.
(2) GGTF misfired by obsessively identifying with civility patrolling as its primary function. At a minimum, that is putting the cart before the horse. Going further: I would argue that it is an an absolutely misplaced predilection, that a very low-importance contributing factor to WP editor gender disparity has been elevated into The Main Reason without statistical evidence. It's a hot-button topic at WP and it was a fight poorly chosen.
(3) Here's what needs to happen:A. Quantify and track the actual gender gap at WP over time. Anecdotally, female participation at events like Wikimania is significantly greater than the 1F:7M ratio that would be anticipated from the estimated ratio of registered editors. Does this mean that the differential is exaggerated due to an undercount or under-self-reporting of female editors? Why are there not annual estimates made and tracked by WMF or by GGTF itself?
C. Coordinate pro-active recruitment. Edit-a-thons, university outreach, etc. targeting new female participants. This is the main way that gender disparity will be overcome — one new editor at a time.
D. Targeted, organized mentoring. Watch the new editor pool and target female newcomers. Help them through the learning curve. Too often newcomers of both genders are left isolated; bring them into the community.