After removing the right hub off the axle, You take the two main axle nuts off. the brake carrier and disc should slide off. then the axle slides out of the carrier from the sprocket side. It will probably take some persuasion since it's sounds like things are in poor condition. Do not beat too hard on the end of the axle as you can bend the whole thread area on the end. If you can, get a piece of pipe that will slide over the threads and butt up against the axle where the hub butts up to drive with.
Dont remove the sprocket hub off the axle unless you have to. It's held on by an internal ring around the axle and underneath the sprocket hub. It can be a bear.
Use buykawasaki.com schematics. much better than going it alone.
1986 Tecate
1984 Tecate
1985 Tri-Z
1986 ATC350X
1985 ATC250R (2)
1985 ATC125M (2)
1982 ATC70 - Original Owner
175 TriMoto Frame with Pro-Tec Rear Suspension
3-Wheelin' since '82