Not particularly. Of the 4 presidents mentioned, possibly only James Garfield had an interesting role being involved in the controversy over Rosecrans' actions and conduct at and after the battle of Chickamauga. While Hayes, Garfield, and Harrison attained general grade rank at some point (brevet or otherwise), McKinley's highest rank was major. Perhaps the other point of interest is that Hayes and McKinley both served in the 23rd Ohio Infantry. Maybe a movie about that outfit?