Christian healthcare co-ops already exist and are one of the few exemptions under the new law that will allow you to avoid both the exchanges and the tax penalty. There are presently only three that qualify, Medi-Share, Christian Healthcare Ministries, and Samaritan Ministries. I’m on my droid so doing links is difficult, but you should be able to Google them easily.
I don’t have to worry about it.
There seem to be many stories of the lack of reliability of some of these organizations. See the comments at the end:
http://www.newsonhealthcare.com/how-does-medishare-work/