How can ayurvedic and homeopathy medications get along, if taken together for entirely different ailments?

Whole systems: Both Ayurveda and homeopathy are known as "whole systems" approaches -- their treatments operate on the whole being, and not for particular ailments. Ayurveda works mainly with foods and external treatments affecting a person's doshas, or their imbalances. Homeopathy works at the energy level of your whole being, and can be used alongside nutritional approaches like ayurveda. Both assist healing.