IIRC, it wasn’t a case of skinhead being coopted by neo-Nazis, but the word being used to refer to two distinct subcultures with no members in common: the two-tone/hard-Mod subculture (a racially mixed working-class subculture associated with ska, reggae and soul music) and a new subculture of far-right football hooligans who appropriated the uniform of two-tone (namely shaved heads, Fred Perry polo shirts and braces) and its nickname.