the closest i think that made for argument of the supreme court would be the 9th amendment:
Existence of other rights for the people.
The enumeration in the Constitution, of certain rights, shall not be construed to deny or disparage others retained by the people
Or possibly the 14th:
Section 1.
All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside. No State shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.
Otherwise, the gays have to wait their turn, as the minority that bends over for society at large.