No, I talked to Tom a while back, It uses it's own gear. Here is a plus though,Say you are running a briggs intek you can order the ring gear, hub, and coil brackets for the Kohler and run your 6611 series wheel. I was thinkin about it. But I'm gonna stay briggs for this year money wise I don't think I can swing an engine change.
I am now aware all 6611 flywheel bodies are the same so making the switch to a twin from a single is as easy as a few part changes instead of a whole new wheel kit if you move up from single to twin or brand to brand.