I have yet to come across a healthcare provider -- physician, dentist, optemetrist -- who does NOT have a binding arbitration clause in their agreement. How do you avoid signing one when it has become the de facto standard?
In England there are a bunch of different regulators (Care Quality Commission; British Medical Association; the trust that runs the hospital) and also law for compensation.
Are people saying that you'd have no option but to go through this arbitration system? And that it would all be secret?
(I'm not suggesting the English system is good here - it's often described as terrible if you have a complaint.)
What are you worried about though? Malpractice claims aren't forced into arbitration. The clause in healthcare is really just going to cause disputes about billing to go into arbitration.
Being denied due process? A contract is a contract, you don't just assume a clause won't be used.