Eli- now, you should pinch off the apical buds (terminal buds), doing so tree will put its energy in ripening the fruits vs. putting on vegetative growth. Also, pinch off every 5th leaf on a branch (VS's technique). Don't remove all the leaves at this time.
However, I do things differently with each one of my trees. On some I remove up to %90 of the leaves, on others only every 5th leaf. It just depends how late that/those cultivators are in my climate. Have never lost a tree doing so.
Here are two pics. taken from my Conadria. As you see, in one I did remove all the leaves from the tree (few weeks ago) and left only %10 of the leaves on the tree. All of its figs ripened and consumed. Second pic taken this morning, you can see that it has put on new leaves. Those new leaves will not be removed, hence no figs left unripe.
Navid.