Here is what we do, and here is why: We see an ARNP who is a naturopath, an herbalist, and a homeopath. She does not take insurance, which we don't have. We only go when we are sick. It is a very reasonable cash price for real, hands-on care. She is anti-vax, but I was the one who brought it up. She believes in homeopathy, and, while I don't know quite what I think of it, it does no harm and certainly seems a gentle first approach to medical issues. When I had a staph infection, she gave me an antibiotic. For a skin condition, a homeopathic salve.
I think maybe, YP, what your asking is, why hire someone that disagrees with you? Is that the root of your question? For me, I hire someone if I think their expertise is most focused on the area in which I need their assistance. That might mean we totally disagree in some other area, and it might even be closely related.
Pedi's are also easy to find. When my son was a week old and the midwife suggested someone look at his cord stump, I went to a pedi first. Now I know more about what is available in my area and what my options are.