Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof...
Pretty simple stuff. You make a law mandating contraception - there's the first problem there... Our federal government is mandating people provide other people with contraception. But what if those people don't want to provide the other people contraception on religious grounds? How do we solve this. Simple. We read the constitution and recognize that we can't prohibit people from practicing their religion - we can't force them to provide contraception for other people.
This is simple. You've got to set up some real Rube Goldberg stuff to get from here to "no, these people are morally bound to provide other people with contraception." This is pretty stupid stuff. And it's a big part of why the Democrats are going to get swept up in history this November.