Chevy do! Up grade to a 14 bolt from the Eaton rear end [get better ratios, a posi, and a disc brake rear all at once]
What year of early 60's might help. Dualie wheels or not? The simple way might be to swap in a 71/72 front crossmember with disk brakes. That would save mixing and matching parts. I've got a 77 1 ton front crossmember and a Dana 70 rear for the 51 Chevy 1-1/2 ton I am helping my daughter put together. She wants it to look like it can work for it's biscuits but it still needs to drive good.