2) Per the Hyde amendment, abortion is banned from being covered by Medicaid.
3) Doctors are prohibited from prescribing many types of medication.
4) There are bans on some types of gene therapy both at the federal and state level.
The state has a right to declare any procedure unethical or dangerous and, subsequently, ban it. The difference between abortion being protected and the doctor/patient privilege being protected is that under one, abortion would be immune from such bans and in the latter it is not. There is a difference in a someone's 1st amendment right to free speech and someone's "right" to abortion by way of the 14th amendment. The difference is that abortion, itself, simply is not a protected right per the Constitution.