Yes. Crossdressers count as transgender. However, the addition of T (transgender) to the LGBT community is recent, and not always well understood. LGB are about sexual preference. The community has expanded to include gender identity, and more recently 'I' was added for physical sex differences by intersex people. More letters have been added to represent different subgroups in an attempt to be inclusive.
Some people think that these different types of gender/sex diversity should not be grouped together because they are not really all that similar, and there is often conflict and lack of understanding within the LGBTIQ/etc communities. What we have in common is mainly that we want acceptance by society. We should be able to demonstrate that acceptance of diversity within the broad gender-diverse community, but we are not there yet.
