First of all, I have no problems with CDs. As far as I'm concerned, anybody can dress how they want to.
I do not consider TS and CD similar though. An TS and CD both wear female clothes, but that's where the similarity ends. A CD is still a man (perhaps feminine, but still a man, otherwise they would be TS), whereas an TS is a woman who desperately needs to change her body and life to a female one, because that is her mental gender.
I have a theory on why CDs are treated like they are by some TS. Many times while transitioning, TS are mistaken for crossdressers, which they consider an attack on their internal gender, since CDs are men. The frustration at being thought of as a CD (a man), rather than a woman is what will cause these TS to develop a dislike for CDs. I think the fact that the CD didn't have to go through the same anguish the TS did--wanting to wear women's clothing and not being able to does not qualify as "anguish", just inconvenience--coupled with jealousy of somebody who does not have (nor comprehend) their own suffering and the fact that people's general misunderstandings of the differences between the groups (which has been demonstrated already) serves to only make transitioning harder causes the TS to lash out at the CD. In all honesty though, a TS that does this has their own unresolved problems and it should not be taken personally by that CD.
*By TS, I am referring to an MtF TS.