Well the old 160 diagrams are hard to read but yu would convert from a Kawasaki FB460V to the Briggs. Some rewiring will be necessary especial there is a different voltage regulation setup.
Here is the diagram for the 160 (Note for the LT160). Zoom in for wire colors. Older serial numbers use the same setup.
View attachment 70280
As for the Briggs opposed we got to figure which alternator (stator) setup it has wiring can be a little different.