The committee is set to vote on its leader on June 27 and its list on July 11. The two votes will be held within the party committee, which has about 1,000 members.
The faction made the decision after 60 percent of the party voted against motions to hold open primaries or to freeze the current list.
That decision was seen as a failure for Zandberg, and for the current list of candidates, whose posts are now in jeopardy.