I thought the Yid army was a name originally used by other teams as a piss take cos Tottenham (the area, not the team) has a huge Jewish community - then was eventually adopted by the Spurs fans.
As for Yank Mod's jacket. You're not a skinhead so I wouldn't want to criticise your dress sense - there's no right or wrong.
As a skinhead jacket, I'd say no. Personally I think its awful but the problem I have with it is its not a 'harrington'. I'm sure if you type in harrington into google images or ebay, all kinds of stuff will come up. A harrington isn't a name for every short zip up jacket with a collar.
The Tottenham Supporters started calling themselves Yids because of the Flak they getting-a Defence Mechanism I think you call it.They like West Ham and others have a History of Jewish Support.