That would be one of the many possible routes, if you want to stay on Interstate highways and go through places like Mobile, New Orleans, Memphis and St Louis.
The shortest and fastest is probably I-75 to Atlanta, then I-24 and I-64 through Nashville to St Louis, then I-70.
If you don't mind numbered US highways instead of Interstates, you could travel most of the way on a diagonal, e.g. leave I-75 at Tifton to go through Albany and Montgomery, then I-65 north through Nashville where you pick up I-24.
My own Florida route uses I-10 to Mobile, US-98 to Hattiesburg, US-49 to Jackson, then either 49W and US-82 to Greenville to cross on the new bridge, or I-20 to Tallulah (crossing at Vicksburg), either one connecting to US-65 which I take to Little Rock, then I-40, But I'm going to the Tulsa area. To get to KC you would leave I-40 just before Fort Smith, taking I-540, I-49, and US-71 on up through NW Arkansas and SW Missouri.
I choose my routes to travel on diagonals if those roads are decent, and to avoid major cities where the Interstate highways have gotten bogged down to being urban commuter expressways.
The other thing I like to do is try out new routes and visit new places. At least a hundred trips NE Oklahoma to SE Michigan over the past 30 years, there are at least six different routes I use regularly, a dozen more I've used once or twice, and hundreds of still untried possibilities in the map rectangle connecting those two places. I seldom use the same route coming and going, for reaching where at what time of day. I also use alternates to dodge short term severe weather.
What was your old route?
