OK. Now that I read the PDF, I must say that those Avoda Zara callers really sound silly. Some people just keep their fingers on the Avoda Zara trigger waiting for a chance to pull.
He asks what the matriarchs did, if they used Segulos. Well, as it turns out, they did! Rishonim explain that the function of the Duda’im, the flowers that Reuven picked was a Segula for children. Does a fox tooth, mentioned in the Gemara in Shabos, make so much more sense than a rabbit’s foot? How about sitting in water with a chicken on your head? How about tying the father’s right shoe lace on the child’s left hand, and the warning not to tie the left lace on the right hand?
Rabbeinu Bachya has a lengthy piece on stone healing, and the Rashba was Mattir using non-physical remedies. He didn’t discern between natural and unnatural healing.
According to the simple reading of the Rambam in the Moreh, Karbanos are the invention of Ovdei Avoda Zara, and since we were used to it it was channeled into a form of Avodas Hashem. You could probably rewrite that whole article about Karbanos. Did you ever research temples?