*spit* *sputter* *snort in exasperated derision*
Something more important that cross-dressing!!?
By, yeah, that is normal. Some people transit between genders and want to be one or the other fully at different times. Some people are gender invariant and just want to be one gender fully at all times. That’s one basic difference between a ‘cross-dresser’ and someone who wants to transition through biochemical and surgical means.
I find it strange, however, that most papers, theses, books, etc. that I have read fail to recognize that those who wish to transition are fundamentally gender invariant just like the majority of people.