Well, it's still a thread some other person might stumble across on a google search so it doesn't hurt to add useful information. It would depend on what engine the 60 had, Y block or FE, 2 very different starters and the FE does have a sort of pull in that can (very seldom) go bad.
And FWIW, you can change a chevy solenoid without buying a whole new starter.
And Bob you are so right. Often we can just smell the failure at the onset and I try to breath that realism into new members on boards. People who have barely changed their own oil who decide to restore a car or build a rod. You know 10 years down the road it's just going to be a half tore apart pile in the garage with boxes of Christmas decorations stacked 3 feet high on it.