The best photo on the web that I hae found so far is at:
http://images.google.com/imgres?imgu...3Doff%26sa%3DG
Look on page 3, the 7th photo down the page. I think your axels are pounded into the "side gears" of the differential. From diagrams of the differential on 1990 Corollas, it looks like the groves that receive the end of your axel are machined into the side gears. There isn't any kind of bushing or bearing to wear out. On the face of each side gear is a "thrust washer", but I don't think that has grooves to recieve the axle. So I don't understand what can allow any radial free play on the end of the axel unless the side gear is in very bad shape.
I can't advise you about the clutch since I haven't taken apart any transmissions yet.
Edit: Would the side gear wobble in the radial direction if the thrust washer was worn out?