We are now where gay and lesbian people were some thirty years ago. Always a minority (estimates of homosexual prevalence run no higher than 10% of the general population, and usually lower), they realized they could never win equal rights referenda without support from the rest of the population. Their solution was to be OUT and visible as much as possible. That way, more people would learn three things. First, that they too know someone, like a close friend or family member, who is gay or lesbian. Second, that this gay person they know is a REAL HUMAN BEING, not some exaggerated monster caricature. And that, third, aside from who they sleep with, gays and lesbians are pretty much the same as the rest of us in all other respects. And that nothing bad happens when you extend to them the rights enjoyed by the majority.
So, more than just a personal statement that an individual refuses to hide any longer, outing oneself became political statement. It took a long time to develop the critical mass of support, and the campaign has not yet reached its goal, but progress is undeniable.
How do we duplicate that success? Get out there. In your dresses. Do regular things. In your dresses. Act the same way wearing your dress that you do in drab. Be seen. Be noticed. Dress your best but don't worry if you don't pass. The muggles need to see that, aside from your taste in clothes, you're no different from them. I might even go so far as to say that when we "pass" we disappear from view and lose opportunities to change a muggle's mind.
It's a long, slow process, but progress is already being made. We can now clothes shopping pretty much anywhere. Violent negative reactions are now rare. Law enforcement officers treat us the same as anyone else. In fact, the biggest barriers come from within us. We are just now learning to overthrow the conditioning we received since infancy. This too is addressed by just getting out there. In your dress. You learn at the same time you teach others.