The argument that I have seen NOWHERE about the Republicans' effort to deny mandatory insurance coverage for women's reproductive health is this:
By giving my employer the right to deny benefits on the basis of HIS religious conscience, they are trying to deny me the right to health care according to MY religious conscience. I happen to be Jewish, and my religion is fine with contraception and early abortion. Letting the Catholic Bishops have their way amounts to favoritism toward one religion, and that seems to me to be clearly against the First Amendment.
Shifting the cost to insurers or the individuals themselves doesn't solve the problem, which is carve-outs for specific religions. Jehovah's Witness employers could use the same arguments to deny payment for blood transfusions, etc. etc. etc. and it leads to a slippery slope where the employer can actually determine whether an individual lives or dies.
So this is not only unconstitutional; it's WRONG!