As an individual who has worked in law enforcement for years now in the US, I can say that things could be run much more effectively than we have been doing.
There are plenty of individuals out there in the Law Enforcement community with good intentions, the right motivations, and the knowledge to perform their duties thoroughly. Unfortunately, there are those among us who fail to find one or more of those attributes.
I believe that all people need supervision of sorts. The way in which they are supervised is the biggest point of discussion for many. Law enforcement in the US maintains a very public appearance to remind people that they are there and watching for illegal activities. Other forms of law enforcement fall to a more reactive style which responds to an incident once it occurs and stays behind the scenes otherwise.
Power can corrupt no matter what the power is. This could be at the law enforcement level, the judicial level, or appellate level is that were to be included. Oversight is one way to try and dissuade corruption from entering into something as important as law enforcement and other aspects of government.
I believe that there should be an oversight committee to review actions resulting in arrest, injury, or damage to property. Those found liable, whether law enforcement or other, should be held liable whether it's a matter of punishment, re-education, or merely a fine for the damages. If law enforcement is acting within the purview of their assignment then the liability should fall to those whose actions required law enforcement's response.
Transparency within law enforcement is required in order to gain the trust of the public. Lack of transparency and miscommunication through media is what has caused the falling opinion of law enforcement in the United States. There are certain matters which cannot be divulged entirely due to the security of a certain assignment or investigation although a group of citizens could be appointed that are not part of the investigation that could oversee the progress made by law enforcement.
Educate the public on the laws of Asgardia from the beginning. This would promote knowing what the limits are in order to ensure the safety of people and property within the Asgardian community. This would also prevent citizens from claiming to be uninformed or unfamiliar with the laws, a common occurrence in my everday encounters.
Educate law enforcement in the spirit behind the law so that laws can be enforced effectively. This would include a study of the laws themselves, their interpretation so as to understand the spirit of the law and what it is meant to do. Law enforcement would need training in the laws, use of force (defensive tactics), negotiation, recognition of mental illness, first aid training, etc. I do not believe that law enforcement should be limited to only enforcing the law, they could also serve as another arm to protect citizens by providing medical assistance when needed. Currently in the US, law enforcement officers receive basic first aid certifications and the only other training they recieve is at their own expense or found to be optional through the department most of the time.
Educate the judiciary in the interpretation and upholding of the law so that it may dissuade offenders from re-offending and others from offending in the first place. Whether you used a single judge to rule on a case or a panel of judges to limit bias and corruption is something to be debated.
Lastly, create a branch within the Ministry of Justice and staff it with those who can review and determine if the correct decisions are being made (i.e. an Appellate wing). Wrong decisions or misinterpretations happen every day whether it's a legal matter or a discussion over a current event. The appellate level could serve as the last line to ensure that justice is carried out appropriately.
As time goes on and technology advances, we may get to the point where AI can assist or replace humans in the capacity of law enforcement. There will always be a need for human oversight though to ensure that justice is fair.
The single largest downfall I have seen in the US justice system is the amount of time spent by the courts to review, argue, decide, and sentence cases. It's not uncommon for a case to take upwards of a year before it sees the light of a courtroom. By no means do I support empowering law enforcement to act as the judge, jury, and executioner. However, we should ensure that justice is hastily carried out and done so in the name of truth and righteousness. Too often can offenders stretch out a case to where justice seems meaningless as the offense is nearly forgotten.