The EDL Welsh division - the Welsh Defence League - was founded by convicted knife criminal and Cardiff City hooligan Jeff Marsh (who was jailed for stabbing 2 Manchester United fans and recently banned from football grounds for 5 years). Jeff Marsh helps organise EDL protests through a hooligan group called Casuals United.
When the EDL and WDL marched together in Swansea on 17 Oct 2009, they chanted "BNP BNP BNP", gave Nazi salutes and burned an Anti-Nazi flag. So, realising the EDL's credibility as an allegedly non-racist group was totally blown, the EDL pretended their Swansea march had been "hijacked" by infiltrators from the Nazi group Combat 18. However (in an act of awesome political stupidity) on 7 March 2010 Casuals United published a photo on their own blog of the WDL which proves that the Nazis who'd protested in Swansea definitely were members of the WDL (see video)... talk about an own flippin' goal!
Since then Jeff Marsh published a video of the EDL chanting "BNP BNP BNP" in Stoke (1) and EDL co-founder Paul Ray admitted that BNP activist Chris Renton is now (quote) "de-facto Commander of the EDL" (2)
There's some debate about whether the EDL are real Nazis or whether they're "just" Loyalists. The truth is that to varying extents BOTH statements are true. However, even then, those EDL Loyalists who genuinely aren't Nazis are still prepared to collaborate with Nazis, so arguably they're even worse than the hard-core Nazis, because they knowingly create a Trojan Horse through which Nazis try to sneak their ideas into society.
Thanks to bnpinfo for the heads-up