There are politically aligned hospitals, but they're not leftist. They're usually named for some random saint and refuse certain kinds of healthcare to certain kinds of people for religious fundamentalist reasons. Leftist clinics (because they don't get enough funding to build hospitals) exist, but I guess you disapprove since healthcare has nothing to do with politics, right?

Side note: The first paramedics in the US were the Freedom House Ambulance Service, an all-black leftist organization that served local majority-black neighborhoods that received slow service from non-medically trained police. They set the standard for paramedics all over the US.