My favourite two-tone bands were, in order, the Beat (annoyingly, here called the English Beat) from Birmingham:
(plus maybe my favourite song
And then there's the Ska master
The two minds? Well, it's all about racism, nationalism, and having the basic decency to ignore it. Your grandfather was a tricky one to work out. I can remember (in I think 1966) when the Victoria Line had just opened on the tube, going up to town for some reason and on the way back having a gigantic Jamaican woman hand me and my brother a fistful of tickets so that we could run round and round through the newly installed automatic barriers. Dad was chatting and joking with her as we circled through, and everything seemed warm and friendly in the world. It was only later that I began to realize that it was not so. In his particular bestiary, while West Indians did in fact count as white Englishmen, perhaps because they were so good at cricket, other cricket-playing races were not so favoured (sorry India and Pakistan); none however came quite so low as Nigerians, French or Germans. A regular Alf Garnett. But later still came the realization that none of this racist pantheon had any bearing on his relations to individual people. Hardly anyone was invited back home from work, but Ibrahim Rizvi was the only repeat invitee: there's principles, and there's people. Our next door neighbour was if anything even worse, and yet still the same. Politics somewhere to the right of Attila the Hun, she was nonetheless a great fan of Basil D'Oliveira, a "coloured" South African cricketer who wound up playing for England, and did a great deal to promote sports against apartheid. She didn't like his (entirely understated) politics, or his skin-tone, but he was a good cricketer.
As economies implode, we're in for way more racist and religious bigotry. My response may seem craven and cowardly, but it's to neither agree nor strenuously disagree. Listen, try to understand where the people are coming from, and focus on individuals. As I once tried to tell you and Eric, you don't have to respect peoples' beliefs, but you do need to respect the people. Usually, they come through.