Is marriage a right at all? People confuse rights and privileges all the time. And I wouldn't be surprised if most folks foncuse rights and rites.
I tend to think marriage is a right, not a privilege. God instituted marriage in Genesis 2.
I know some conservatives claim it is a privilege, sort of like getting a driver's license. But I tend to think of it as something more like gun ownership, even though marriage is not in the Bill of Rights. The government recognizes our right to marry, like our right to own a gun, but it does not give us those rights. We would have them anyway, even if there was no government.
Of course, the right to marry, like our rights to life and liberty, is not unlimited, and the government has no obligation to recognize marriage between a man and a goat, a woman and her son, a brother to his three sisters, nor a marriage between a man and a man.