The AMA is a government granted monopoly.

Regardless, could you further explain your analogy to net neutrality? I can't even imagine what combination of misconceptions about net neutrality and personal genomics led you to make such a comparison.

All they want is to be sure that a medical advice...

Personal genomics companies do not give out medical advice. They give out genetic information.

The proposed regulations would require you to get the permission of a doctor (or other clinician) before you can have your DNA sequenced, and the data would be available only through the doctor.