There's not really a State of Law-SIIC-Sadr alliance.
After the 2009 provincial elections, the Supreme Council lost almost all of its local power, and that was followed by a large defeat in the 2010 parliament vote. When the government was being put together Maliki successfully split the SIIC from its former militia the Badr Brigade.
The Sadrists were the reason why Maliki won a second term, and have been the closest party aligned with Maliki. Maliki is trying to undermine them as well, by embracing the League of the Righteous special group that just decided to join the political process. It's leader Qais Khazali was a follower of Sadr's father, and Maliki is hoping to use that to weaken his dependence upon Moqtada.
These kinds of splits are seen within all the major lists. Iyad Allawi's Iraqi National Movement almost split during its recent boycott with some factions wanting to work with the premier and others wanting confrontation. The Kurdish KDP and PUK now face the Change List and two smaller Islamic parties. All of these divisions is what allows Maliki to stay in power because there's no real unified opposition to him, although many parties dislike him.
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