First of all their is no law in the United States which supercedes the Constitution not even English Common Law.
But to use your own argument against you, the whole point the hotel owner made was that they could not habitate the same bed. If they wanted to rent seperate rooms or a room with seperate beds no problem. If they were to tell the owner they were going to sleep with each other regardless then the owner does not have to rent to them since they insist upon breaking the owners rules. Why must a gay person aspouse to everyone in the world that they are gay. There wouldn't be a problem if they wouldn't have said they were gay and just rented seperate rooms.
There are several states which still have laws making homosexuality illegal, North and South Carolina are two of them. They are just not enforced by the politicians because they are afraid of the special interest groups and not interested in doing what is right.
A very good example of this is that there are several communities throughout North and South Carolina that in order to live in the housing development you not only must be a Christian but you must attend the communities church and if you don't you are required to move. This has been taken to court several times and each time has been upheld by the courts. One other note is that in the community in which I live their is also a hotel that is owned and run by the community. In order to stay in the hotel you must state that you are a Christian and are not gay. This hotels rules have also been upheld in court.
You have to be a frustrated attorney.
Unfortunately any state or local laws against sodomy have already been rendered unenforceable by the US Supreme Court decision Lawrence vs. Texas(2001 ?). The NC and SC laws just haven't been enforced (as sodomy laws historically rarely have)...If authorities tried, they would immediately have a federal lawsuit filed by the ACLU--which a Federal court would probably not even hear (rendering summary judgement)--as the laws are currently effectively null and void.
Isn't that other wise known as a "cult"? lol