I had recently installed a mini starter in the Willys.
I had to install an internal shim as well.
All was good until weeks later with occasional no action
from the starter button.
I replaced the starter button, didn't solve the problem.

So, it had to be the wiring, a kink somewhere or...
off to the store, bought a roll of 10 gauge [replacing the 12 g.]
new wire ends, etc.

I have a tach sending unit mounted on the firewall with the 4 wires 
running through a grommet to the interior so I drilled the firewall hole
out larger and made a new larger grommet so I could run the starter
button wiring through it as well.

This made the wiring too close to the engine so I made a bracket
and mounted it to the valve cover, using another small grommet.

See attached.
Under the dash work was a lot of fun...my back!
So "It's just two wires" took me most of the day, all fixed.
Glad I took some Motrin....
Mick