been thinking about aristo/bohemian/lumpenprole as a coherent axis defined around common cultural traits (decadence, cults of action?) against a rivalling stability-oriented gentry/bourgeois/prole line
I think the concept you need to tie this together is “belief that the formal rules make sense and that you will be rewarded for following them.”
I once wrote much of a very long essay about (approximately) this, but lost momentum before it finished. Short-short version: aristos and proles are both keenly aware that in fact life is a political jungle where success is defined by allies and resources and risks-that-pay-off, the spiritual essence of the bourgeoisie is “thinking that the world is basically an extension of school.”
how about working class in the military
Yeah, how about it. “I would specifically like to join an institution that, unlike the rest of the benighted world, runs on reliable and formalistic rules enforced by a clear chain of command.”