The only illness I ever get is a minor cold about once a year, so I never have to raid the pharmacy, but if I ever had a serious malady, I'd listen to my doctor over a shaman. When I do get that irritating cold, I'll take some Vitamin C supplements, hit the throat spray every hour, drink copious amounts of water, and sleep at least 10 hours each night. So, I kind of use a combination of natural/medicinal treatments, and the worst part of the illness is gone in a couple days.
But like I said, if it were anything more serious, I'd trust modern medicine. I cringe whenever I hear of someone trying to cure life-threatening illnesses with hippie medicine, like in that one South Park episiode. There was a story like that here not too long ago where a mother kidnapped her 4 year-old son from the hospital because she didn't want him to undergo a kidney transplant. Instead, she wanted to try homeopathic remedies, and the boy nearly died before police were able to take custody of the child (under court order), and get him back to the hospital, where they performed a successful operation.