A while ago I posted about "stiff gearing" in my truck...after driving for a while, it seems to have a gear clicking feeling when going around turns really slow...almost feels like its riding on tracks instead of wheels. A number of you said it likely has a positraction rear end in it, which does this if the wrong fluid is put into the rear end. I was also told that to check to see if it is a positraction, jack the back end up, leave it in neutral, and turn one of the wheels...if the other one turns the same way, its a positraction. I tried that, and the wheels turn in opposite directions. So maybe it's not a posi...in neutral, if I span one wheel clockwise the other one would go counterclockwise, but slower than the wheel I'm spinning. The driveshaft would spin as well. I put it into all four gears, and reverse, and with all gears, the wheels span in different directions, but at the same speed this time, and the driveshaft didn't spin.
Also, while I had the rear wheels in the air, I noticed that both of them have a little bit of play in them...I can move them in and out maybe an eighth of an inch or less. Does this rear end seem normal to you guys?

The truck is a 1961 Chevy half ton. I used to have a different 61 Chevy, and never experienced the "gear clicking and stiffening up" thing around corners like I do with this one.
Just curious to know if I'm looking at replacing the guts in the rear axle, or replacing it entirely maybe. I appreciate your opinions!