Atlanta and Minneapolis are about 908 miles apart by road. Split the difference and you arrive near Indianapolis, the city closest to the halfway point between them. That puts roughly 8 hr 58 min of driving on the Atlanta side and 10 hr 42 min on the Minneapolis side — the fairest single meeting point among the cities near the middle.
Over this distance most people will fly rather than drive the whole way. Indianapolis still makes a fair, central place for Atlanta and Minneapolis to converge, splitting the travel instead of asking one side to cross the country.
If Indianapolis doesn't have what you're after, Louisville and Chicago are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Atlanta and Minneapolis.
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.