More Explicitly Religious Jewish Leftism

In an earlier discussion here, I suggested the political leftism of most (American at least) Jews was rooted in the concept of Tikkun.

http://en.wikipedia.org/wiki/Tikkun_olam
http://en.wikipedia.org/wiki/Tikkun_(magazine)

Leo disagreed, saying the most prominent "Jewish liberals" were atheists and attributed contemporary Jews' leftism to other causes.

So I'm wondering if we could get a politically left-wing Jewish movement in the U.S. or other nations with large Jewish populations with an explicitly religious base, perhaps analogous to the Christian Right.

Michael Lerner and Tikkun seem to be OTL examples of what I'm suggesting, but I don't think they're that influential.
 
This seems to be a very old concept... would this mean that Jewish leftist groups would stay seperate from other leftists?
 
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