Yellowjacket,
With respect, I find a lot of confusion in your posts, and my critique of what I understand your central argument to be remains what it was in my first, brief post. Specifically, let me focus on this:
"Catholics are on no grounds to refuse it, since they don't practice what they preach."
The big problem is your treating "Catholics" as a behemoth, a single large conglomerate. It makes no sense to treat freedom-of-conscience issues that way. If every single Catholic but one were marching daily in the streets for abortion, but that one had a credible religious objection to it, then that one would have a good argument for getting an exception to the mandate. Your argument appears to be, "20% of Catholics don't follow this teaching, so all Catholics are hypocrites and don't merit a conscientious objection." It has been, and remains a terrible argument.
Now you throw out what I would consider to be a few red herrings along the way, which would muddy the above point in its application, so I'll briefly respond to those as well. You say,
"I pay taxes on shit I personally find morally reprehensible all the time."
So does the Catholic Church. But this isn't a tax: it's a requirement to buy a product directly. That's quite a difference. It also means that your suggested amendment to my analogy doesn't work. It's not just higher taxes to support an option. It's paying money directly to the objectionable school. And again, it couldn't matter less whether 100% of atheists or only a single atheist objects.
If there were a TAX that then went to fund universal access to abortion, then we would be in the situation you are describing.
A final point: the Roman Catholic Church isn't even asserting that EVERY CATHOLIC opposes abortion. At issue are OFFICIAL Catholic institutions and whether they must, against conscience and their teachings, fund abortion.
"So again, I think your argument is not, in fact, rejecting mandated abortion coverage for Catholics, but rejecting the mandate itself. "
I of course do oppose the mandate, but my opposition to the mandate is logically distinct from my beliefs about how, if there is going to be a mandate, religious objections should be handled.