The noncentral fallacy is somewhat opposite to that—MLK is certainly not a “criminal’s criminal”—the reason people don’t identify him as a criminal certainly isn’t because he’s too much of a criminal.
"MLK is just a criminal!" and "Jeffrey Dahmer is just a criminal!" are both non-central attempts to use extreme outliers.
>"X is in a category whose archetypal member gives us a certain emotional reaction. Therefore, we should apply that emotional reaction to X, even though it is not a central category member."
The difference between calling MLK a minister and calling him a criminal is that being a minister isn't as negative. Nonetheless, calling him only a minister does evoke an emotional reaction that doesn't quite capture the power of MLK's role in society. Introducing him as a minister is an example of the non-central fallacy, but it's played for ironic effect.
"Martin Luther King Jr was a criminal! Taxation is theft! Capital punishment is murder! Abortion is murder!", etc are examples of that sort of misrepresentation.
[1] https://www.lesswrong.com/posts/yCWPkLi8wJvewPbEp/the-noncen...