Since when is the military the department of defense? Does that mean that every school in the country is the department of education or every hospital the department of health and human services and therefore they are part of the administration?
Edit: Whatever, they report to the executive at some point I guess (through a cabinet position). But then again, they also report to Congress as well.
The military is 100%, entirely part of the executive branch.
Unlike hospitals and schools, every service member is a federal employee, and through the chain of command they are directly under the command and supervision of the executive branch.