If your doctor converted to being a Christian Scientist, would if be okay with you if they refused to suggest medically indicated surgeries? What should be the burden on you to keep track of this?
I still think the best option for our country would be something close to the German model. Government pays, but private insurance companies administrate, and people choose whihc private company ot use. Bonuses get awarded for good management of the population and for taking on people with chronic conditions. Employers don't have devote HR staff to insurance care.
If a doctor has a personal objection to performing a specific procedure or providing a certain type of care they shouldn't be forced to perform it because they are a doctor. Same for the owner of a hospital.
How can you argue that a person should be forced to act against their will, especially when they have a moral objection to the action?
In just about every skilled profession there are standards that have to be met in order to get licensed. I have no problem holding doctors to standards.
If being a doctor conflicts with someone's religious belief, then they shouldn't become a doctor.
What's next, soldiers who don't have to kill anyone because it's against their religion?