Your Fig tree could still be a brown turkey and be grafted onto a different root stock. If its grafted you'll find the graft union above ground ( aproximately 4" (10 cm) above ground). If so, only those cuttings made above the union will be of the same variety. Otherwise those suckers could by now have developed their own roots and become separate plants. The best time to do that is late fall. If so you could then place them in individual bags and overwinter them in a frost free place. My fig trees ( which are three now) were made from suckers that grew just like your pic of a mature fig tree of a good friend of mine. These suckers all produced figs after waiting 4 years. I expect them to improve each year from now.
Arturo