Well that's thinking out of the box for sure! I once had a steering wheel off a NF that got bent and used the lathe to straighten it. Slipped it on a mandrel and just pushed against the "high spot".
Small tires can be a pain. I bought a Harbor Freight tire changer a while back and it works great for breaking beads. Don't know how well it works on tires that small though.
You want some real fun, change the tires on a pedal tractor--you have to boil them.