The other, more historical name for cross dresser is Transvestite. Which in my understanding is very much part of the Trans community.
For many of us, the gender identity is male , with a desire to express their feminity through dressing. The sexual preference could be either hetero or homo sexual. In my case, I am comfortable with my male identity and dressing up.
I know of gays who will cross dress - the "woman" in the relationship, also known as "bottom" will cross dress ...They do not come under Trans, but will be under Gay - but very much part of LGBTQ community.