Thou shalt know the tree by its fruit. The rule of law gave birth to individual rights - in other words, rights vested solely in individuals. Only individuals are capable of having rights, just as only individuals can be free. We say a society is free if the individuals who make up that society are free. For individuals to be free, they must have certain unalienable rights, and additional rights upon which they have agreed with one another.
Group rights are the negation of individual rights.
The Constitution knows nothing about groups. Groups have no standing in the eyes of the law. As the saying goes, just like the definition of social justice itself. Individual rights and group rights are mutually exclusive. Once again, one cannot have it both ways.