RE Subsidiarity as defined above in the CCC quote:
When the question of subsidiarity comes up, at issue is whether something should be handled by the individual, the family, the community or the various levels of government from the most local to the least local. The principle of subsidiarity says that the level that can do the job that’s the closest to the individual is the proper level to handle the job.
So no, national health care is nowhere near doctrine and in fact, should not be practiced unless no other more local option exists, which is false. Another reason to oppose it with a clear conscience.
Now, the bishops may have some reason why they’re saying what they are about national health care. I don’t know what that might be and I honestly hesitate to ask. But as for you and me, we can be opposed to Obamacare itself, yes. No problem. As the bishops so clearly said last week, the Church cannot teach that participation in abortion is wrong, and then participate in abortion by funding this insurance scheme Obamacare.
BTW, there are numerous places online where you can find the Catechism of the Catholic Church. It’s at www.vatican.va of course. But a great searchable version can be found at scborromeo.org/ccc.htm.