yankel > Like a non frum doctor who happens to excel in his field, patients should be referred to him.
R Soloveichik writes that in Lita towns where non/anti-observant people were not tolerated, they would still have a non-observant doctor and pharmacist – because there were no others, and people needed them. He says that in his experience (1950s) it was better to talk to a non-Jewish doctor when there was some religious sensitivity (kashrus, fasts, family issues) than to a non-religious Jewish doctor. From that, he suggested (l’hathila) that YU medical school will be useful: non-religious Jews who would come there might not become religious, but at least they’ll come out with appreciation of the views that religious Jews hold.