First off i would like to point out that they are both male Caucasians that have a face!
Now you might scoff at this and point out that such an obvious statement has no merit to the comparison at all. However, once you start to look deeper into the world of the Fat Controller you will find that everyone has a face...
The fact that a train has a large white smiling face can only point you towards two key character traits of the Fat Controller. Clearly the first would be that he projects his blatant homosexual fantasies on inanimate objects through the use of LSD or Heroin and the second would be that he must be a racist.
Now the second, Dumbledore, he too has a white face but with a beard. It is common practice in oppressive communities for homosexual men to have wives/ girlfriends to act as a cover of their real self. Such practice has been know as having a "beard", and seeing that Dumbledore has one on his white face then clearly he too could be linked to homosexuality. Looking deeper into this character, as he develops in the Harry Potter series, you ultimately come to the conclusion that he is gay and therefore would this then mean that the Fat Controller also would posses such feelings?
Well the answer might be in this...
But unfortunatly it isn't
So where to from here with our comparison? To me it's obvious...