Well, the ur-example of 'incompetent evil' would be the Nazis...
Wouldn’t that be the National Fascist Party?
The Nazis were deeply inept at the most basic aspects of governance in ways that the Fascists, at least early on, were not. Mussolini did not literally make the trains run on time (this is
Italy we're talking about), but he was able to rule in a way that didn't
require a morally insane plunder economy to sustain itself (although, of course, he chose to go in that direction anyway, a choice that says more about him than his innate tendencies or talents do).