"On both flywheels there are two bolts. The bolts on the engine from the recoil engine secure some sort of ring that goes under the starter clutch. On the engine without the recoil, these bolts are just there and seem to serve no other purpose."
These holes serve two purposes, hold adapter for flywheel screen in some instances and are used for the B&S flywheel puller. The adapter for recoil starter is a standard B&S part for drilled tapped crankshafts. That illustration you sent is some sort of after market I guess for crankshafts which are not drilled.
Walt Conner
After posting this I went to take another look at this engine and the threaded piece I am talking about already exists! See enclosed photos.
I don't know why I didn't notice this to begin with.
I just got to pull the flywheel on the recipient engine to see if it matched the end of the crankshaft and check to see if there is a difference in flywheels.
One other thing which is trivial because I think I know a way to get around this. They made a lot of changes between these engines. The oil dipstick bracket, air cleaner assembly, intake manifold (slightly) for example.
The PVC valve (if that's what it's called) is mounted on top of the 15.5 engine where it's mounted on the side of the 14 engine. The elbows that holds the air cleaner onto the carb are different. On the 14 engine, the hose goes into the bottom of the cleaner. where it goes into the side of the 15.5 engine.
My idea was to cut the hose and use a piece of tubing so I can lengthen and angle the hose to where it needs to be. I don't think I'll have to swap intake manifolds. The 14 uses a screw to support the air cleaner but I don't think it's really necessary.
EDIT:
So today I decided to see if these parts would interchange and so far so good but the more I get into it , the more heat shields have to come off and swapped from the doner engine.
I didn't swap flywheels but looks like it might has to have to come off in order to get to a small bolt holding a heat shield on the carburetor side which is interfering with the metal cover. I'm going to see if I can get to it with a 1/4" wrench so I don't have to remove all this stuff AGAIN just to get the flywheel off. Also there is a hugh heat shield around the muffler and a shield behind it that may have to come off.
The dipsticks do not seem to interchange (hole in the block is bigger) but the one from the 15.5 looks like it's going to overlap the metal cover.
So in other words when B&S went to this plastic cover and deleted the recoil starter, they changed everything.
It's not a big job, just allot of stuff to take off, fasteners to keep track of and swap over.