I am not sure I understand this. If you are going to a doctor, you would want to make sure she is qualified, isn't it? And the only way (currently at least) to make sure is that degree that proves she knows what she is doing. Of course this doesn't apply to all professions.
It's true if someone can do those 3 things without going to medical school they may be missing a great deal of knowledge passed from medical school that maybe they were not explicitly tested on or experienced in the field. I'm not sure what to do about that. If you could find a solution for that then banning from asking or considering education could actually work, I think...but that's a hard problem to solve.
In terms of education there are two options. Ban mentioning degrees only credentials, or ban mentioning school names which deflates the ivy name recognition. In both cases schools would need to focus on education not name recognition.
The thing that unlocks legal professions from the grip of $200k law schools is going to be something that reimagines the role of a lawyer, creating a new kind of legal professional that makes radically less money than a BigLaw lawyer.