No. Just... no.
This isn't a matter of being the "real thing". There are practical, and legal, implications of playing yourself off to be something you're not.
While there are knowledge aspects to be demonstrated there are also skill and technical practices involved. If someone identifies himself as a medic and there are medic level interventions that need to be completed then the expectation is that those skills can be completed. Misrepresent yourself, your provider level or your capabilities, regardless of your knowledge, you endanger yourself from a legal standpoint and you endanger the patient.
That's unacceptable.
As for the doctor title, in a clinical setting physicians should be called doctor. The implication, and expectation from the public, is that a doctor is a physician. Outside of a clinical setting, i.e. academia, if you have a PhD or similar academic doctorate then the "doctor" title is appropriate.