Yes we should. You presume that the state and the doctor care more for the well being of the child than the parent. The other poster is correct, make her sign a release form and send them on their way. Medicine is the most imperfect of all sciences. All too often the cure is worse than the disease. Even though we know some parents are going to be stupid, act stupid, and/or make the wrong decision, it still should remain their decision, not the states. This doctor better have good malpractice insurance, he's going to need it.
See my post before. I agree that he should have signed her out "AMA". However, these parents are idiots. They bring their infant to the emergency room for a suspected cold but don't want to have a test to see if she has a deadly disease?
If you don't want to subject yourself to the evil medical establishment, don't go to the emergency room. Those people are there to treat patients and save lives!