Birmingham and Portland are about 2,062 miles apart by road. Split the difference and you arrive near Denver, the city closest to the halfway point between them. That puts roughly 22 hr 55 min of driving on the Birmingham side and 20 hr 34 min on the Portland 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. Denver still makes a fair, central place for Birmingham and Portland to converge, splitting the travel instead of asking one side to cross the country.
If Denver doesn't have what you're after, Albuquerque and Salt Lake City are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Birmingham and Portland.
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.