"All men are create equal" doesn't mean all people are equal. In fact, we know all people aren't created equal either. Rather, it's the law that must see all people as equal for the purpose of justice.
For the purposes of a doctor, I get what he's saying too, but I would argue that the quality of the patient does matter and that discrimination is good.
Consider, an ambulance roles up to a car accident. The drunk driver that caused the accident killed a mother. The drunk and the woman's 12 y/o child both need emergency care. There is another ambulance 20 minutes out. Who should that first ambulance take to the hospital?
If you say the drunk, I don't want to live in your world.
One more thing. The article states "All people deserve respect". I grew up being told respect is earned, so I can't agree with his sentiment. Perhaps all people deserve a chance to earn respect. That's different.