Most countries appoint law enforcement officers who are qualified for the job.
We had a problem last year here in San Mateo County, California where our sheriff was corrupt but we had to pass a ballot measure because we couldn't just fire them: https://calmatters.org/justice/2025/10/san-mateo-sheriff-rem...
Independent elections are a good thing. Bundling offices together under a single election that appoints the rest of the world is terrible and only leans further into the two party see-saw that exists in the USA.
I really wish for proportional representation. Not that it really applies to your local police force, but we need to break apart the complete A-or-B nature of American politics. Form coalitions, not monoliths that trade off earning 51% of the electorate every cycle that the completely repoints the entirety of the govt for the next 4 years.
Anyway, not all states elect their sheriffs, or even have sheriffs at all. States that appoint their sheriffs don’t appear to have a noticeably lower level of incompetents.