This quote is bogus, and [it's supposed author William] Burke never said it. It is a pseudo-quote, and corresponds to real quotes in the same way that urban legends about the ghost hitch-hiker vanishing in the back of the car and alligators in the sewers correspond to true news stories.A good read. (Note: Thorough, academic and rigorous.)
Source: Porter, Martin. All that is necessary for the triumph of evil is that good men do nothing