Joseph, no body ever asks you about the "Mighty Joe Young" thing... Do they?
There should be a small amount of free travel (about a 1/4 inch If I remember correctly) after the clutch is fully engaged. The turnbuckle to do the adjustment is just ahead go the clutch pedal. There is no other adjustment.
Does your 430 have a hand clutch or a live PTO? If it has a hand clutch, that clutch rather than the main clutch might be the culprit. As Jim said, that clutch is adjusted by removing the dual range cover, and making the adjustment by moving the dual pin adjuster clockwise ( I think... From memory).
If there is no hand clutch and your out of adjustment on the main clutch, you have a split in your future.
I don't have access to my service manuals tonight, but if you would like those sections copied, I would gladly send them to you sometime tomorrow.
Welcome aboard.... I've never met a namesake. With a name like that, and a passion for rock island case tractors, ya gotta be ok!