In our free and diverse nation, we hold a wide variety of religious, ethical, and political views. As a result, we hold a wide range of opinions on controversial subjects like abortion, capital punishment, and assisted suicide. Medical professionals are no different: They are free and diverse people with diverse beliefs. This means that some will be willing to participate in certain activities—preparing a lethal injection for an execution, providing abortion-inducing drugs, or prescribing chemicals to help a cancer patient kill herself—and some will not.
In a free and pluralistic society, the best response to this diversity is the simplest one: live and let live. So long as they are legal, free people should be free to choose whether or not to participate in these procedures. There are many willing providers, and there is no need to force unwilling people to participate.