Access to medical care in the US has long been highly regulated. Politicians interfere in personal medical decisions every single day.
Personally, I don't think that's right, but it's the status quo, and it's not going to change any time soon, especially when so many insist on turning a blind eye to that fact.
But it's in that context that "hands off my body" arguments fall flat. We have long lived in a society where political intrusion into personal medical decisions is not only tolerated but actively demanded.
At this point it's not about whether to keep politicians out but rather which politicians to give the power to.