Healthcare is one of the biggest areas of government, and administrators in the field often have medical and/or public health degrees on top of pre-med or substantially similar undergraduate coursework.
For that matter, I think that medical doctors are substantially overrepresented in elected general government office (state and federal legislatures, etc.) even though not nearly so much as lawyers. (e.g, Congress is 2.8% physicians, while the US adult population is around 0.4% physicians.)
