I don't think having a floating gender persona is conducive to being taken seriously as a prospective MP. With that in mind, I what I find truly ridiculous is Eddy Izzard describing himself as a "girl" the definition of which is child/young adolescent/teenager. Somehow that term a bit like "lady" is a coy, facile way of describing an adult woman of mature years who has no doubt been through a whole gamut of physical stages to reach that time of her life. Not a girl, we aren't bits of fluff who live to stride around in short skirts and vertiginous heels only concerned with what amounts to a very one dimensional outward appearance, there's a whole lot of stuff going on in the inside physically, if you did but know it Eddie, but how could you because you aren't, and never will be a woman and quite honestly whilst pantomime dames are just about ok on the stage in real life they diminish women by presenting an exaggerated parody.
Whilst Glenda Jackson made some edgy films for the time, that wasn't real life it was acting. I wouldn't make a comparison between her and EI, once she stepped back from the film and stage she threw herself into her role as an MP, not that I think he wouldn't do that too, nevertheless all the posturing would be very off putting to some constituents not to mention many women would just see it as another nail in the coffin. I believe Rosie Duffield the Labour MP for Canterbury has said she would resign her seat if EI is selected from an all women short list.