I would:
Air layer the heavy vertical stem, just above the roots, and train it into a single-stem, standard tree. Then, pick a few verticals and train into 3-5 stem bush. Limit nitrogen, add limestone around root area, stop ferts. after June and pinch back to 6-8 leaves on each stem, remove all terminal buds on branches that are not pinched back after June 21st the Equinox, when days start getting shorter. Try trimming surrounding trees so your fig tree gets more sun. If all else fails, relocate the tree to a sunnier spot. I think your options will involve pruning, pinching, and more sun.
If you take an air-layer off that fig tree, as an experiment, containerize it, and grow it in full, blazing sun for a season or two, with the correct culture. If the containerized tree bears figs, then your original fig bush needs more sun, heat, and culture that matches the containerized fig tree.
Just some suggestions to try, especially since the tree made figs in the past.
Frank