Your right #2 is on the left. I got myself turned around looking at two different IPLs online so I when to Kawasaki engines double checked what I said. I also google the head part numbers (11008-0823, Left head; 11008-0824, Right head) this time too. So maybe I got myself straighten out and hopefully you too.
Basically it turns out to looking from heads down toward the crankshaft the #2 is on the right as most engines two cylinders when the PTO end is toward you and the flywheel away. Basically got look at the horizonal engine as if it was a vertical engine with the flywheel on top.
Sorry for posting incorrect info. I wish the service manual was more clear on how to determine this instead having to do so much extra research.