'64 barrauda transmission park cable

Probably not. Your buddy's 64 will have a 904 in it. The early(up to 1967) 904 converters had a small pilot(goes into the crankshaft) of 1.550", and it would have the 18 spline input shaft. It also probably has a 122tooth ring gear. Later 904's had the 1.810 pilot and a 27 spline input shaft.
I knew it would be different LOL. I also knew I could get an answer here, thanks for the info, you saved us a whole lot of grief.