I think "religious freedom" is a concept that enjoys an incredibly loose interpretation.
It holds no water with people who consider religious ideology and practices to be arbitrary, fairy tale bullshit, but that isn't the general public. Most people in the world believe in some form of a god(s) or "higher power," and while they may disagree with each other about which is the One True God, they generally consider it a human right for people to live in accordance with their beliefs.
The big caveat here is that in many cases, the ramifications of someone's beliefs spill into other peoples' lives, as exemplified with Hobby Lobby. It's the opinion of ownership/management that birth control is morally wrong, and therefore they consider it an expression of "religious freedom" to deny birth control coverage. That doesn't mean they are possessed of the Truth, but because they believe they are, the public is coerced in to respecting that belief, which goes far beyond the notion of free speech.
In terms of American life, religious freedom is legal enforcement of a great misunderstanding.