Military officers destitute of military knowledge; naval officers with no idea of a ship; civil officers without a notion of affairs; brazen ecclesiastics, of the worst world worldly, with sensual eyes, loose tongues, and looser lives; all totally unfit
Dickens is saying that the uppper class and ranking officials never tend to know what they're truly doing. He is speaking about aristocats in connection with one another. They do not work hard and are not the ones doing the grunt of the work. Interesting take.