The "Conscience Clause" -- for or agin'?

It occurred to me were certain people not so opposed to the idea of pro-life Christians being permitted by law, via the so-called "conscience clause" to forbear from colluding in the legal (by the State's laws,) private murder of the unborn, they'd have been able to suggest that their latest heroine is entitled to invoke a "conscience clause" to forbear from colluding in the necessary (by the Church's laws,) prevention of the private murder of the unborn.