You can give the ignition system a rudimentary test with the engine not cranking.
With the points closed (ignition ON) flick the contacts open.
Every time they open, you should get a spark.
IF NOT- disconnect the condenser and repeat. IF a spark, bad condenser.
You can also check the points when cranking the engine.
Use either a 12V test light or voltmeter lead on the -side (points) of the coil.
When the points are closed, current should flow through them, thus no light or 12V reading.
IF the points aren't closing/making contact, the light will be ON, since the current is trying to take that path.
The points are just a switch to charge the coil. Open the switch and the magnetic field of the coil collapses, inducing spark through the secondary.
The coil is just a "1 shot" transformer. Charge, collapse field for spark, repeat.
The condenser reduces arcing between the points, which burns points and also partially discharges the coil.
A shorted condenser = no spark.
On open/out of spec condenser results in a no/weak or erratic spark.
Resistance of the coil Primary should be 4-8 OHMS.
Secondary should be 7000-12000 OHMS.
IF you don't have a repair manual, see-
http://www.mytractorforum.com/14-craftsman-sears-forum/259418-all-kohler-engines-link.html