Ah...I misunderstood, then.
As for Ministry- their early stuff is solidly an angry form of New Wave- early hits like "Revenge" were clearly done by a band that owed more to bands like Devo than Black Sabbath.
However, as the band aged, more and more anger and aggression steeped in, until they had essentially become one of the first Industrial Metal bands. "Land of Rape and Honey" sounds more like Killing Joke than Human League. The follow-up "A Mind is a Terrible Thing to Taste" is a classic Industrial Metal album, as was "Psalm 69." Other stuff has been hit or miss, but Al Jourgenson's classic sound lived on in side projects like Revolting Cocks, Pigface, Lard and others.
Killing Joke and Prong were the other major bands advancing the sound of Industrial Metal at the time. Prong, FWIW, is the band you hear doing the theme song to the original Headbanger's Ball.
Prong's style directly influenced White Zombie's sound- in one of the later seasons, you can see Rob Zombie redesigning the set on air, so its pretty clear he heard a lot of that music on his way up (KJ and Prong were in heavy rotation in the last segment of the show).
After White Zombie, Rob went solo, keeping his own "horrorbilly" sensibility in the Industrial Metal mix.
Meanwhile, Prong's sound was almost directly duped by Static-X. Early SX has a more techno feel than does Prong's work- Wayne Static's samples & loops are more akin to the stuff of New Wave than metal. However, Wayne's samples have gotten progressively harder and darker as the band has developed.