The similarities would be that Jame Gumb aka. Buffalo Bill would slice large portions of skin from his victims, as he was trying to fashion a costume.
Leatherface obviously has a similar method. Though he pretty much kills and skins anything, where Buffalo Bill goes for fat chicks.
Either way it makes no sense, because the time frames don't line up. TCM movies were around before Silence of the Lambs.
TCM even predates the novel sooo.. I don't know what this kid is on.