As you noted your home state of Michigan is not a member of the Driver's License Compact (DLC) however the Michigan Secretary of State (SOS) site has information showing that out of state tickets may still be added to your MI driving record.

In the MI SOS FAQ section it is asked if a Michigan driver gets a traffic ticket in another state what will show up on the MI driving record. The SOS answer is that the out of state offense is likely to eventually appear on your Michigan driving record.

It continues on to say if the violation substantially corresponds to a violation of a Michigan law, then the conviction will be posted to your driving record and points will be assessed as required by the Michigan Vehicle Code. If the ticket is for an offense for which a suspension would have been given if the ticket had been received in Michigan, then a suspension will be imposed after the posting of the ticket, allowing time for due process and the sending of a notification letter.

Michigan SOS does not state exactly which states they have agreements with but notes that most states are reciprocal and provide ticket information to the driver's home state. Michigan law requires that the same action be taken for tickets received out-of-state as those received in Michigan, therefore, points and suspensions may be imposed.