“The Constitution is silent on the subject of police forces. “
There were no police forces in the colonies. They originated as private police companies who then rioted against each other and killed each other in territorial disputes, before being incorporated into city governments.
The Founding Fathers provided for Sheriffs. A Sheriff was an elected official who had virtually the power of a king in his county. He could raise a force to go after crime problems, like the Dalton gang.
Other federal police, like the Marshals, came along later.
A Mafia crime lord who became a New York politician introduced the first gun laws to disarm shop keepers so they couldn’t defend themselves against Mafia policy enforcers.
Violation of my constitutional rights under color of law or authority is punishable by death.