It's hard for people to understand the magnitude of critical thinking skills that are involved in taking care of a baby in the Nicu. I have seen babies delivery at home come in with permanent damage done with mental retardation etc... If you think that you can get yourself to the hospital to do a emergency c-section if something goes wrong with delivery in time, then take that chance. I would not ever take that chance. There a lot of wonderful doctors out there that delivery babies that aren't wanting to take a blade to you. A lot these doctors have spent 16 years in school and been practicing for decades. There isn't any perfect system. Until medical intervention was available a lot of woman and babies died during child birth. Yes, it's something that is natural your body does, however, it isn't without very high risks involved that need medical interventions in some cases.
I don't think a disagreement with you on this issue is evidence of a lack of critical thinking skills. Is it quite possible that your (very important and valued) experience with very sick babies has skewed your perception on the dangers of birth?

Evidence does not show that hospital births are safer. I think it's better to go with evidence than anecdote, however powerful our personal stories may be.