Incidentally, Draug, the "separate but equal" analysis has only been applied to race, not sexual orientation. That may seem like a small point, but if you know modern Constitutional law, it's not in the least. There are a certain very few categories that receive "strict scrutiny" under the fourteenth amendment in modern jurisprudence. They are race, national origin, religion, and alienage. Sexual orientation is not a so-called "suspect classification," or at least, has never been held to be.
If it were not for this limitation to a few categories, then it would be unconstitutional to provide (for example) separate restrooms for men and women in public buildings. However, it is not, because "separate but equal" does not apply to gender.
So, your citing this in your analysis all the time is unjustified.