^^^^^^^^IF you go to this link it will show you the states that honor NC permits.^^^^^^^
Go to the Mi. link provided earlier for Mi. Particulars, such as where you can and can't, Etc,,,,,,,
Mi. is also a Must inform if you are asked for ID by LEO.
Here is a great link to the MiSPolice for lots of info.
MSP - Firearms
Detroit is no problem carrying, I work in the D, and Lots of people legally carry there.
Just, if your passing through, keep the windows up if possible, doors locked, and head on a revolving swivel, night or day.