I've always found it curious how the EDL have strange bedfellows like the Zionist movement. There is a thread on the EDL forums at the moment that gives some insight into what is going on:
 http://s1.zetaboards.com/EDL_The_Forum/topic/3581083/1/
The thread is somewhat charmingly titled "EDL Being Anal Raped by Zionist Lobby".

It's clear that some in the EDL (with a background in the far right?) are uneasy about this alliance.

What is surprising to me is how much Israel is involved with this group. Some quotes:
e.g. from "brianoflondon", who seems to actually be "brianofisrael":

"I had to break off last night as I was talking with the head of the EDL Jeiwsh division. She confirmed that most of her 700 or so members are Israeli, not British."

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VillaLoyal: "But there does seem to be, especially on Facebook, certain extremist Jews who are seeking to channel EDL activism for Israeli ends, not British working-class ends."

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brianoflondon: "I'm working furiously now behind the scenes to reverse the negative view of the EDL here and back in the UK.

I'm happy to debate these issues: I take it as my role to give you the information on why fighting to keep England free from the jack boot of Islam is the most important thing you can do right now, regardless of how you feel about Israel.

Frankly if Israel and the stupid soft leftie peacniks here don't come to terms with our real enemy, we'll have much worse and bloody wars in the near future.

I'm typing this in my bomb shelter on the 7th floor. I have a steel door, and a 1.5cm thick steel plate I can secure the window with. That's what living with Islam next door really means."
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Homo Sapien (EDL LGBT Division): "I was surprised by the idea Brian presented about the Jewish Division being heavily weighted towards Israelis. I contacted one of the admins of the Div and asked her to confirm this. She replied she knew there were Israelis in that Div (some being British/Israeli citizens, others living in Israel). However, she didn't know the exact numbers. So I talked her through the provisions in Facebook that allow one to see the visitors to a page.

Of the 670 or so supporters of the Jewish Division, these are the top 4 countries:

United Kingdom 439
United States 53
Israel 49
France 27

As you can see, the vast majority of the supporters come from the UK, although given the size of Israel there is almost as much interest there in the EDL's Jewish Division as there is in the US."