Boise and Kansas City are about 1,160 miles apart by road. Split the difference and you arrive near Denver, the city closest to the halfway point between them. That puts roughly 13 hr 21 min of driving on the Boise side and 11 hr 41 min on the Kansas City 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 Boise and Kansas City to converge, splitting the travel instead of asking one side to cross the country.
If Denver doesn't have what you're after, Salt Lake City and Albuquerque are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Boise and Kansas City.
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.