To start I'd leave the back as a single bevel, it will make future sharpening a lot easier. If it needs toughening up you can convex the beveled side. Anytime you make mods to a the flat on a chisel grind you can be setting yourself up for a lot of work down the road if you need to restore it to original geometry.
Disclaimer, I don't have experience with a chisel machete but it sounds very interesting, what is the make?