WASHINGTON — Senate Republican leader Mitch McConnell says President Barack Obama's compromise on birth control coverage isn't good enough, so he'll push for a vote on legislation that would exempt any organization that has moral objections to the requirement.

McConnell says the issue "will not go away until the administration backs down."

Obama's latest plan would not force religious-affiliated organizations such as Catholic hospitals and collages to provide or pay for birth control for their employees. But it would allow those employees access free contraceptives directly from their health insurer.

McConnell tells CBS' "Face the Nation" that the issue is one of religious freedom. He says that continued objections from the nation's Catholic bishops underscore the constitutional problems with Obama's broader health care plan.