What patients are posting, sometimes including doctors and other patients. Okay.
Well, there's not much you can do about it. Patients can also slander the ---- out of you with false info on doctor review sites and/or social media and you can't do squat (or at least shouldn't) because any meaningful response is likely to be a HIPAA violation. Remember, HIPAA protects them, but not you. I suppose you could sue a patient for a slanderous social media or doctor-review post, and there are some examples of physicians doing this, but it would be a complete was of time and legal fees.
Beyond that, trying to control patient behavior, is admin's baby, I supposed, but it's futile. You can have all kinds of rules such as banning phones, etc, but if they violate the rule, you still have to take care of them, and you're required by law (EMTALA) to do so. If they snap some picture of you and tweet it out against some unenforceable hospital policy, what are you going to do? You're sure not going to confiscate their property (phone) and you sure have no ability to go in and delete their social media posts, whether it contains a photo of, or comment about you, or not.
Bottom line: There are all kinds of extra laws and ethical restrictions upon what we can and should or cannot do as health care providers, but very little to rein in a patient that wants to be otherwise rude, inappropriate or unethical unless some law is broken worthy of criminal arrest. In an outpatient office or other non-EMTALA setting on the other hand, you can fire or kick patients out of your office for whatever reason you want, or no reason at all. You just have to send them a 30-day notification letter that you're discharging them (varies slightly by state).
Does that make more sense or am I still missing the point of the OP?