As I said, Chuck, having growth that extends more than 180 degrees is a bit more challenging. You are going to break some of the long, fertile fronds off. Don't despair, its just the cost of doing the chore.
A saw is going to be really difficult to use on those masses of basal fronds. Believe me, I have tried everything. I would still use the long, heavy serrated knife as much as possible, and when you hit metal, get out the saws. If you can force the cut portions aside a bit, exposing the metal wire, use wire cutters. Its easier.
I don't know if my crude "art-work" helps any, but this shows making an initial four cuts, two long lateral ones and then two shorter upper and lower cuts. You would have multiple plants on each segment and then you would cut those into sections. You would end up with nine divisions, leaving that center-plant as the possible "mother" plant.
Since you apparently don't have a wood mount of any sort, just a wire basket imbedded in the center of the "ball" of plants, you might have to hack away at this sucker while still hanging. You are probably going to need four hands to do it. You'll just have to cut deeply into the "ball" similar to the diagram, then make another cut perpendicular to the first one. That perpendicular cut would end at the other cut. Often you'll end up with more of a wedge of plants/dead basal fronds than of an rectangle or square of material. But still, whittle it down as described previously to get the weight down and to make re-mounting easier.