AFIK, Milton Eisenhower, with a journalism background, was brought into government by Coolidge as head of the press section of the Agriculture Department and stayed there well into Roosevelt (different times). But I write this because Milton must NEVER be forgotten as the person who took the job to set up the "relocation" camps for the Japanese-Americans (the one job Roosevelt did give him). He then went on to be President of different Universities (qualified by his success with "camps"?) ending as head of Johns Hopkins.
BTW, the family does have a perhaps atypical background so I don't know how much they illustrate Kansas. I believe they were Mennonites from Texas (not Kansas) where Ike was born. After they moved to Kansas they became Jehovah's Witnesses.
I have never heard of Edmund Eisenhower (and find no reference to him through Google, although there seems to be a high school in Oklahoma named after someone with a similar name). Perhaps you can fill us in?
Paul