You are comparing apples and oranges. Racial distinctions are primarily superficial while the sexual distinction is anatomical. Recognition of that difference, and respecting the need for a degree of privacy in specific situations in no way is bigotry, and considering it to be such belittles the struggle against racial, religious and even gender discrimination. Being raised in a culture of modesty about such things as our sexual differences, does not equate to racial segregation with different drinking fountains or seats on a bus. Different racial washrooms is wrong; different men's and ladies facilities is not.
When most crossdressers go out and about, using women's facilities and so on they are usually recognizing the sexual differentiation by the use of body shaping, tucking, wigs and makeup and making themselves as passable as possible. There is an element of deception involved. Being able to fool people into relinquishing their right to privacy seems somehow wrong. I am not referring to transsexuals, or those in the process of transitioning or even those who have made a personal commitment to live as a woman. I am simply referring to those like myself, who like to sometimes crossdress, depending upon my mood and a host of other factors. I feel that it is wrong for me to enter the lady's room unless I am invited or asked to do so because of circumstances.
If it didn't matter which washroom we use, then there would be no point to the deception. Without the need for deception, we could simply be a dude in a dress, with no boobs or makeup, complete with our mustache and beard if we wished. Would you be comfortable using the women's room that way? If so, then why the deception? If not, then why label others as bigots?
Veronica