The IHSAA works for the member schools.
The Executive staff of the IHSAA runs the organization on a daily basis.
That staff answers to the executive committee which is made up of roughly 20 members from across the state. The ExCom is made up of administrators at local districts who speak on behalf the remainder of the members representing a variety of size, geography, and type of school. They are elected at varying intervals by the member schools. And they in turn decide on hiring and firing of Executive Staff.
The IHSAA does not take its cues from any coaching organizations, but they have shown the willingness to have conversations. In order to enact change you need to have a majority of the executive committee and executive staff on board, as they have proven to attempt to work together on concerns.