Em. You are probably right. Some of them, at least, will be educated in order to organise things such as today. But education isn't everything.
Nick Griffin of the BNP graduated from Cambridge ! Now I know he isn't overtly involved with the EDL, but his university background seems to have made little difference to his use of his education. He gave an interview on Channel 4 News in 2009, when he made the following statement of unbelievably, breathtaking ignorance ::
" Griffin claimed that "There's no such thing as a black Welshman", which was criticised by Vaughan Gething (the first black president of the Welsh NUS and the Welsh TUC, and the first black candidate for the Welsh assembly). Commenting on Griffin's claim, he said "On that basis, most white people wouldn't qualify. It's quite clear that Nick Griffin just doesn't accept that black British people or black Welsh people are entitled to call themselves proper, full citizens of the country."
So it would appear that even with an education, these people can still act like wassocks.