Where does the Constitution give special rights based on aberrant behavior. Early in our history there were laws in every state against sodomy. Virginia's law had the death penalty. Do you really believe that the Founders thought it normal that a man looked at another man's hairy behind and "fell in love"?
What I think is the Constitution does say “We the people” have a right to form a contract.
I also believe Marriage is between one man and one woman and is a Sacrament before God.