You are incorrect.
A heritage Foundation study, via DoD data, shows Whites are slightly over represented in the US Military, as are Negroes.
Whites are much more over represented in the combat arms jobs while Negroes and others are under represented.
So-called "Hispanic" people are under represented in all categories of the military.
The demographic study also points out that lower income people are under represented in the military, thus shooting down the fallacy poor people join to get the benefits.
Islamists are WAY over-represented (should be zer0).