You are quite right that there was no unified national organisation. Loyalties were shifting quickly, as organisations were running behind the volatile demands and tastes of their followers. I have tried to fit them onto a scale running from hard British-minded (protestant, bent on maintaining Northern Ireland's status, approving violence, discriminatory, unwilling to co-operate or even make concessions) to hard Irish-minded (catholic, bent on changing Northern Ireland's status, approving violence, disdainful of democracy and their opponents and unwilling to co-operate or even make concessions). Of course, the coin defacers are bunched on the protestant end of the scale. The organisations change position over time, though. Most start out on the extreme end of the scale, moving slowly towards its centre over time, some moving slowly the other way.
Next, there are some semi-organised individuals, like Paisley & son and assorted clubs of bank robbing gangsters that may assume names, but in reality are acting strictly for these individuals. I assume (but don't know) that KAI was one of those.
Peter