State laws vary but in general if your driver's license is suspended in one state, whether part of the Driver's License Compact (DLC) or not, you are not normally able to obtain a license in another state until your suspension is over or you can otherwise get your license reinstated.
Even though both Michigan and Georgia do not take part in the Drivers License Compact and thus are Non-Compact states they both do share information about moving violations with other states and collect in information about their own licensed drivers. Also all 50 states and the District of Columbia place information into the National Drivers Register (NDR) and check this national database when a person applies for a license.
The National Highway Transportation Safety Administration (NHTSA) states that the NDR contains a listing of names and related identification, provided by State driver licensing officials, of those "problem drivers" whose driver's licenses have been cancelled, denied, revoked, or suspended or who have been convicted of certain serious traffic violations.
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So the DLC does not matter as much as the NDR when trying to obtain a license in new state. If you move from Michigan to Georgia your MI driving record may not follow you but if your license is suspended and thus invalid then you likely would not be able to receive the GA license. The GA Department of Drivers Services states that a valid out of state license can be exchanged for a GA license but your suspended MI license is not considered valid.
You can check with the Georgia DDS to see if you can obtain a driver's license. More than likely you will need to get your Michigan license reinstated before this is possible. You can check if there is any type of occupational or conditional license you can apply and receive until you are able to finish your MI suspension and get that license reinstated and get a full GA license. | 
