Jennifer raises a good point, and there is much empirical evidence to support her thesis. Let's not forget that the "T" in "LGBT" was only added on as an afterthought for inclusion into that community, and has only been part of this acronym for a scant number of years now. Furthermore, not only are most most actual drag queens gay, they usually make a point of avowing that dressing up in female clothing does nothing for them, and that doing drag is just a "job" the way they describe it. Curious then, that many of them are so d*mn good at it.
And to Nadine's point - here in Toronto (home of one of the largest annual Gay Pride parades anywhere, and site of the 2014 international World Pride gathering), the organizers of the parade have given the "T" community the cold shoulder for a number of years now, putting so many obstacles (lack of adequate funding is the usual excuse) in their way that the latter is now going its own way and organizing its own activities independently of the larger organization because it refuses to be marginalized even further - and especially by a supposed ally.
Of course, the supreme irony (and injustice) here was that with respect to the 1969 Stonewall riots - which proved to be pivotal point in the struggle for the rights of gays and lesbians - trans folks were in the vanguard of the protests, and by some accounts their initial push-back on systematic police harassment acted as the trigger for the ensuing events.