Yes.
When the individual's right is a fundamental right (for example, free exercise of religion, conscience), that right can diminish the non-fundamental rights of the many.
This is why the Little Sisters of the Poor shouldn't have to pay for their employees' contraceptive insurance coverage.
Free exercise? Fundamental right.
Right to have someone pay for your contraceptives? You may have a strong desire for such coverage, but that "right" isn't fundamental, or not constitutionally protected.
It is also is why a photographer shouldn't be compelled to photograph a gay wedding, based on religious objections. Free exercise is a fundamental right. Your interest having a specific photographer shoot your wedding is not constitutionally protected.
This is the essence of our constitutional system. That an individual's right, even a fundamental right, must be diminished in the interest of the many, is a utilitarian principle common to both Fascism and Communism. [PS -- Ultimately, the "holder" of the "rights of the many," and the party who may enforce the "rights of the many," turns out to the government, when the "rights of the many" are used to outweigh the individual's right]. It is the trademark of every oppressive government that it restricts the rights of the individual in the name of the "many."
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Post of the year. Nicely put, Joe.