Drag is an Art form, and a performance art, and good drag artists are among the most talented people. It seems to be the most identifiable aspect of the LGBTQIA+ community to the general public. Many trans folk indulge in drag, some as part of their journey of discovery, and this is one area of overlap.
Unfortunately, as Drag is a performance, and often featured, it is widely confused in the general public with transgender. Drag makes a theatrical caricature of the sexes, while transgender needs to correct an internal incongruence. They are different. Often, the first image our friends and family imagine when trans people come out, is drag. While those people usually enjoy the art form, they really don't want their loved ones to adopt it as a lifestyle. Even legislators confuse this and it affects laws governing transgender people. And so this misconception creates a bad situation for trans people, and for this reason, many trans people do not like drag.
Let's be clear, trans people really have nothing against drag, but dislike the confusion of the two. While I believe Drag is a legitimate performing art, I think it is important to acknowledge the confusion, and urge all to do their best to clarify this to the general public. It won't solve the problems, but it might help.
Hugs,
Allie