I've never used a spreader to disassemble or reassemble a stock Dana 60, I use a good pry bar under one of the ring gear bolts to start prying the carrier up enough to expose the axle hole and then use the bar on the other side to pry the carrier bearing race up enugh to use the pry bar in either axle hole and remove it.
I use between .013 to .015 additional carrier bearing shims to preload the carrier bearings after removing them and using my honed out set of set up carrier bearings to measure the width needed to get zero preload and go from there
A good soft blow hammer is your friend on installing the carrier after that