Everyone's experiences are different as are the differences in how units/branches train. People are right in saying that not all military personnel or all police are proficient with their assigned weapons.
I spent all but the last year in the Army assigned to combat engineer units. The units I was assigned to were either forward deployed (overseas) or rapid deploy units stateside. It didn't matter if I was in a line company as an engineer or headquarters as a machinist, we went to the range on a regular basis and qualified minimum of 2 times a year. I was assigned everything from the 1911A1, M9, M3A1, M16A1/A2, M60 and Ma Deuce.
I spent all but the last year in the Army assigned to combat engineer units. The units I was assigned to were either forward deployed (overseas) or rapid deploy units stateside. It didn't matter if I was in a line company as an engineer or headquarters as a machinist, we went to the range on a regular basis and qualified minimum of 2 times a year. I was assigned everything from the 1911A1, M9, M3A1, M16A1/A2, M60 and Ma Deuce.