While not all child molesters have such a mustache, it is the preferred facial hair for any pedophile that is serious about his work.
The pervstache is typically a standard mustache extending from one side of the mouth to the other and is generally accompanied by a pair of glasses. However, some pedophiles are aware of this stereotype and have strayed from the typical pervstache.
To avoid suspicion, some child molesters will stray from the typicall stache and opt for a handle bar mustache or a fu manchu and will possibly even go so far as to grow a goatee. Under no circumstances will the pederast willingly go without any facial hair.
It looked like he was wearing on of those "Groucho" fake glasses, nose, and mustache things.
(mostly worn today by hipsters or indie rocker, but cult film director John Waters and “Pink Flamingos” star David Lochary were both early pioneers of the style)