Yes Dorian did have a Skins tat. However, it is important to understand the difference between the Oi! skins(the original skinheads) and the Neo-Nazi Skins in the US.
It is also important to understand that England still has a Caste System (a social ridgid structure, where it is virtually impossible to move up the socio-economic ladder). In the early 70's England began to allow more immagration from India, and most that immagrated were taking jobs typically held by working class Brits. The younger working class kids resented the British governments allowing the increased level of immigration, and from this sprang Oi!, a working class movement. There was little actual racism is the beginning. Actually the skinhead look, was borrowed from the Jamacan Rude Boys( who shaved their heads clean) that frequented the same clubs, listening to blues and ska.
It wasn't until much later that racism began to show it's head, and it was fairly limited in the beginnning to recent immigrants. Later as it began to split into factions, the most noticable group was the National Front (who were/are Neo-Nazis), whos outright racism and tactics were easily exploited by Englands media, which is more sensationalized than the media here generally is.
Was Dorian a racist - maybe. But in the socio-economic climate of the 70's and 80's in England it more understandable that such sentiment would spring out of fear for ones livelyhood, and future.
The Neo-Nazi skinheads in the US have nothing in common with the Oi! movement, except the bald head!!