TBH I'm not sure how anti-semetic or "Neo-Nazi" the EDL are now.
I'd imagine that they have some members of Jewish background.
The average "far right nut" in Europe right now is usually quite pro-Zionist/Israel (Anders Breivik for instance).
Islamic fundamentalists are actually probably closer to Neo-Nazism than them.

The vast majority of Muslims I know (including some very good friends) are great people. However, the problem is that there is a very dangerous minority among them that hold extremist views. Even if these fundamentalists only make up about 5-10% of the UK Muslim population, that's still a hell of a lot of people when you consider the Muslim population within the UK is already in its millions and is rapidly growing too.