My experience introducing trauma informed care to primary care is that the key to gaining their support is through the concept of "whats in it for me?" We can all relate!
By identifying the highest risk folks , connecting them to specialists (behaviorists and addiction specialists, maybe consult with pharmacists) , that will actually free the Provider's time up to see more people, and be supported treating the high risk patient population. It brings better care to the patient, frees up Provider time, and creates an overall better experience for everyone.