An individual generally has no rights to have someone prosecuted. A crime is not a "victim" vs. "defendant" situation. It is society that is harmed by criminal behavior and it is the state that prosecutes (and determines if someone will be). Some states allow citizens to go to the court and obtain a more formalized start to prosecution, but it's still the state that ultimately carries it forward. Michigan, is not one of those states.
If you have someone who you believe has committed a crime, make a complaint to the police department.
If you think a police officer has improperly failed to investigate, you may make a complaint with their department. You may also complain to the prosecutor directly, and pursue it up to the state Attorney General's office.
The AG office also maintains a victims rights office which may assist you.
Note not all crimes are prosecutable. Remember it takes proof beyond a reasonable doubt to convict. One person's complaint against another is frequently NOT sufficient evidence to sustain a conviction. It may not even be probable cause to commence one.

