I've been in countless rounds of the Army trying to implement such programs, every time it turns into a wasteful, stressful clusterf*ck that detracts from the core mission. Quality circles, Total Quality Management, JIT delivery, ISO 9001, Black Belts, 'Ownership,' Baldridge Award packets. Jesus, it never f*cking stopped.
And none of it actually accomplished a damn' thing. The reasons should have been obvious, but the desire to follow civilian management fads and count coup for an annual rating drove it again and again.
Not going to go into great detail for a dawn post on a forum that maybe 20 people will ever see, but for starters, Deming himself was never solid on how his ideas even applied to a service industry as opposed to manufacturing and distribution of goods, and the government is basically a giant service organization.
Critical to the whole conundrum is that there is not a direct 'Customer' in the process. The funding and policy direction comes out of two political entities (Congress and the Executive) with the third (Courts) unpredictably intervening at the behestbof various third parties. The revenue stream to operate comes from the political process, not from the person receiving services (Of course some of those recipients, like criminals or enemy combatants, don't want them anyway, or can't fund even themselves which is why they're consuming government services in the first place).
It does handle a lot of goods, of course, many of which are unique, and therefore expensive and made in limited production runs, but which also have catastrophic consequences if not immediately available when required, so most industrial inventory modeling fails big-time.
The compensation structure, both military and civilian, is a combination of the worst features of both wage and salary systems.
On top of that, there is a fundamental conflict between wanting people to be fungible but also invested (Which afflicts private sector employers as well, so the private sector has pretty much given up on 'Invested' outside of their inner-circle executives).
Then just to put the cherry on top, the entire structure is subject to radical shifts in priorities driven by political power shifts at least every two years, including social and social engineering issues which have no actual relation to core functions.