Should criminal justice be privatized?

Should criminal justice go private?

First let us quote Wikipedia which defines it:

privatization entails private-sector control over all the decisions regarding the use of resources devoted to the protection of persons and property.

So the question is should we hand over the role of pursuing justice to the private sector? Private law enforcers, private prisons, private courts, and overall private protection of people and property?

What do you think is right?

References

1. https://en.wikipedia.org/wiki/Privatization_in_criminal_justice
2. http://www.justiciarestaurativa.org/www.restorativejustice.org/legislative-assembly/12public-vs.-private-justice