Hard to tell exactly what you have going ion at grade level there. Looks to be some serious wounding during a pruning session that ended up compromising the tree structurally - there's a lot of rot at grade.
If it was my tree and you like the figs, I'd get right on building an air layer from one or more of the trunks that appear to be as yet unaffected by wounding/rot. If you decide to go the layering route and need guidance, just ask. I do a lot of air layering and F carica is an easy subject. You could probably have the layer separated by Aug, maybe sooner in SoCal. I'm afraid that after you clean up the debris, it'll be just a matter of time until you see a repeat, so I'd be thinking about eliminating the damaged tree unless you keep it around long enough to layer.
Al
