most graduate schools care a about your letters of recommendation and your statement of purpose -- essay you write about why you want to attend graduate school in a particular field, and what your qualifications are. In some fields, admissions committees care about things like undergraduate research, writing samples, your work or internship history, or an in-person interview. Graduate schools generally do not care about extracurricular activities whatsoever unless they're directly related to the field you want to study -- often there's not even a place to write about extracurriculars on the application.
Pretty much, grad school admissions care most about your GPA, GRE scores, letters of recommendation, and your personal statement. They don't care really if you were a jock, was a squadron/battalion commander, etc... However, when you write your personal statement/purpose, you can use many accomplishments during your undergrad outside of GPA to demonstrate your ability to work independently; follow instructions; motivations; and many of the other attributes that grad schools look for in an individual. So while they may not care that you were a squadron commander at the academy, you could slip that in as you're mentioning how you learned to lead groups and to be a follower, and how this became a valuable trait when you got involved in doing group research projects, internships, etc... In other words: While grad schools don't care for much outside of GPA, Letters of recommendations, GRE scores, and your personal statement/purpose; there are ways to include all your accomplishments and experiences you have in presenting yourself.