From Hobby Lobby, Justice Kennedy couldn’t help but explain how free exercise and dignity are related:

In our constitutional tradition, freedom means that all persons have the right to believe or strive to believe in a divine creator and a divine law. For those who choose this course, free exercise is essential in preserving their own dignity and in striving for a self-definition shaped by their religious precepts. Free exercise in this sense implicates more than just freedom of belief. See Cantwell v. Connect- icut, 310 U. S. 296, 303 (1940). It means, too, the right to express those beliefs and to establish one’s religious (or nonreligious) self-definition in the political, civic, and economic life of our larger community.

Yet, government stands in the way of that dignity!

But in a complex society and an era of pervasive governmental regulation, defining the proper realm for free exercise can be difficult. In these cases the plaintiffs deem it necessary to exercise their religious beliefs within the context of their own closely held, for-profit corporations. They claim protection under RFRA, the federal statute discussed with care and in detail in the Court’s opinion.

The government’s workaround for non-profits, where the insurance company pays for the contraceptives, does not infringe on this liberty.

The accom- modation works by requiring insurance companies to cover, without cost sharing, contraception coverage for female employees who wish it. That accommodation equally furthers the Government’s interest but does not impinge on the plaintiffs’ religious beliefs.

And he closes with a quotation from Justice Kagan’s dissent in Town of Greece:

“[T]he American community is today, as it long has been, a rich mosaic of religious faiths.” Town of Greece v. Galloway, 572 U. S. ___, ___ (2014) (KAGAN, J., dissenting) (slip op., at 15). Among the reasons the United States is so open, so tolerant, and so free is that no person may be restricted or demeaned by government in exercising his or her religion. Yet neither may that same exercise unduly restrict other persons, such as employees, in protecting their own interests, interests the law deems compelling. In these cases the means to reconcile those two priorities are at hand in the existing accommodation the Govern- ment has designed, identified, and used for circumstances closely parallel to those presented here. RFRA requires the Government to use this less restrictive means. As the Court explains, this existing model, designed precisely for this problem, might well suffice to distinguish the instant cases from many others in which it is more difficult and expensive to accommodate a governmental program to countless religious claims based on an alleged statutory right of free exercise. Ante, at 45–46.

This seems to leave the door open that other religious objections, which do impose a burden on the government to accommodate many claims, may be invalid. It also finds that access to birth control is a compelling interest, that other interests fall to.

Update: Also Justice Kennedy makes the obvious, but painful point, that the majority’s solution to protect freedom is to create another government program:

The parties who were the plaintiffs in the District Courts argue that the Government could pay for the methods that are found objectionable. Brief for Respond-ents in No. 13–354, p. 58. In discussing this alternative, the Court does not address whether the proper response to a legitimate claim for freedom in the health care arena is for the Government to create an additional program. Ante, at 41–43. The Court properly does not resolve whether one freedom should be protected by creating incentives for additional government constraints. In these cases, it is the Court’s understanding that an accommoda- tion may be made to the employers without imposition of a whole new program or burden on the Government. As the Court makes clear, this is not a case where it can be estab- lished that it is difficult to accommodate the government’s interest, and in fact the mechanism for doing so is already in place. Ante, at 43–44.