Hi Nativesun,
I wouldn't remove the figlets and don't remove the leaves.
Let the tree do what she wants. They are stubborn and if you remove the figlets the energy in the stem will make new figlets start growing.
You will remove the figlets once the tree starts the 2015 cycle . This is in April or May for me here . Until then, take a paper towel, and shed a tear ... One fig less ...
Your figtrees are not the only ones playing with their growers nerves ... I had cleaned mine in November and last thursday most had new figlets, even Pastiliere had some... And since Saturday, we have snow . Take that !
I even saw two young stems breaking buds ... I guess, the buds are toast by now ...
I'm sure if I remove the figlets, some new will pop out, and I want to slow that, for them figs to pop as expected in April .