I spent a great deal of time considering the CPM-or direct entry route-to midwifery. I decided to go CNM for all the above reasons and also the fact that interntionally a CNM is much more recognized. My family is very interested in missions and that was a big factor.
Do your research and check out both paths. There is a good book offered through Midwifery Today called "Paths to becoming a Midwife". It will list out all the accrediting bodies and programs for DE Midwifery, as well as do a fair job explaining CNM route also. I would highly recomend spending some time on the Midwifery Today web site. CA is a great place to rub shoulders with some fantastic midwives...so network, network, network. Attend any conferences you can find and talk to DE midwives.
As far as your belief system. I have to say I have been incredibly surprised by the number of believers I have encountered. I'm not sure why because it makes sense that women who believe in a beautiful, perfect creation would believe that women were built and designed to do this and that God had a pretty good idea of how things would work best-emotionally, physically, and spiritually in childbirth

. Check out:
http://www.christianmidwives.org/
-great group in Indiana bringing together Christian birth professionals
http://www.midwifeschool.org/about_mission.htm
-great school in phillipinnes, mission focused, christian based, and will earn you CPM status.
There are others, but start there. Feel free to PM if you have anby questions or want to chat about anything.
Peace,
C