At most, you could get post-modernists in charge of education ministries, and they might have some influence on the way art, literature, and to a lesser extent social studies are taught in school. And, actually, it wouldn't surprise me if that's already happening, given that at least some of the people planning educational curriculum must have gone to university during the heydays of Jacques Derrida et al. (I went to high school in the 80s, and you did detect the influence of mid-century New Criticism in the way English literature was taught; Freudianism as well.)
And Michel Foucault(who, following convention I will somewhat slapdashedly lump in as a post-modernist) was credited with/blamed for "deinsitutionalization" of mental patients during the Reagan/Thatcher era, though I think the bulk the credit/blame was laid at the feet of Thomas Szasz, who was more of a libertarian than a post-modernist.
Other than that, I don't see deconstruction etc. having much applicability to things like economics, defense, or scientific education. The previously referenced Foucauldians might have a thing or two to say about criminal justice, but in practice it probably wouldn't be much different from bog-standard liberalism.