By definition policing is “the maintenance of law and order by a police force.”  Supervising or enforcing rules.  But who made the rules? 
The assumption is that there would be an urgency for police officers and/or citizens to uphold all of the amendments but those are most related to policing and criminal proceedings.  Aside from the right to remain silent and unreasonable search and seizures, the larger part of those amendments fall on the judicial system as a whole but first…you must be arrested, which start with the police