I think, as Meghan Murphy, JK Rowling, Magdalen Berns, Posie Parker et al have shown, persuasive arguments are what we do best.
The thing is though, often we aren't even having the right argument.
By which I mean, we think we are arguing with women (like Gadsby) about whether men can be women or not. But that's not the real dispute. Every woman who chants 'trans women are women' knows as well as we do that people can't change sex. They know the difference between males and females, even if they pretend to think it's terribly complicated.
The reason they say 'trans women are women' is not because they literally think they are women, but because they think that feminine-presenting men are enough like women. They think we share a common condition because we are both denigrated by men. They think that any man who wants to be a woman - or present like one - must be motivated by an intense identification and empathy with women. They want to join 'team woman', and since they are suffering so much and we share so many things in common, it would be churlish of us not to let them. Many women are terribly flattered that they want to join in the first place.
Unfortunately, all these assumptions are in error. As the behaviour and political aims of the trans movement demonstrate, men who identify as women or non-binary don't actually have much empathy for women, or understanding of our lives. Liking certain aspects of femininity, such as make-up or clothes or being sexually submissive, is not the same thing as being in solidarity with women, nor does it give any real insight into the experience of being female. Men who take on superficial markers of femininity are not 'treated like women' (by definition, they can't be, if people still perceive them as male), even if they are sometimes treated badly.
So women talk about how much they empathise with men who say they identify as us, while they display an ongoing disregard for our feelings, and push for laws and policies that are directly contrary to the wellbeing, safety and flourishing of the female half of society. If we dare to point out how some of their demands might harm - or have harmed - women and girls, they either abuse and threaten us, or guilt trip us into conceding that our needs (for privacy, safety, clear medical language, fair sporting opportunities, pick one) are unimportant. So much for 'team woman'.
In this 'sisterhood' to which all women are now expected to swear allegiance, the solidarity and compassion (not to mention the resources) go only one way, from female to male.
And we continue to have infuriating pseudo-debates about gametes and chromosomes with other women, when we should be pointing out all of the above to them instead.