That strange chatter-wear is normal.
As the cones wear they drop down into the cavity, and the spring-preload eases and eventually the cones are no longer pushed into the cavity.
While .036 is enough, if you already have it apart, the .060 mentioned by Sterling is better.
However, as the cones drop down, they take the side-gears with them, and the spiders are moving into the cases and away from eachother. Eventually the spiders are driving the sidegears by their tips only. This is bad news because all the power of your engine is going thru those two tiny spiders and at any one time only a few teeth on each spider are transmitting power.
Follow the power; Pinion to ringear to case to cross to spiders to sidegears to axles.
So you gotta restore the spider to sidegear contact.
I do this by two ways whichever works best.
First tho; I grind off the unworn parts of all the gears, so that they are not high-spots. Then
I install new Ford side-gear washers between the cones and the sidegears. This pushes the sidegears towards the spiders. Next, If I have enough room, I double up on the spider washers, which push the spiders towards eachother which increases the tooth contact. When I think I'm done, I assemble everything minus the springs and make sure the spiders and sidegears all rotate freely, and are not baggy. Those side gear washers that I get from Ford come in a package of various thicknesses, so it might take several tries to get it just right.
After that is done, the springs will now have more tension on them, so the next step is to set the turning torque. I lube everything up with the same lube I am gonna use, with the correct percentage of whale-oil in it. Then assemble it, but case bolts only finger tight.
Now, I made myself a couple of tools from old broken axles with splines that fit my sidegears. Each is about 7 or 8 inches long. I put one in my bench-vise, and clamp her hard. Then I put the assembled case on that axle. The other stump has a pinion nut welded on the end, and I slide that in the top. After all the splines are engaged, I tighten the case bolts. Then I measure the turning torque( NOT the break-away torque) with a torquewrench.
Here is what I like to see.
For a streeter with 245 tires. 90 to 100 ftlbs. Too much more than 100, and she will spin the inside tire around every sandy corner.
For a streeter with 295s and 350/400hp, I like 120ftlbs It will still occasionally spin the inside wheel, acting a lil like a spool, but most of the time you will get differential action. And when you gas it, both tires will spin, and you can do nice full-lock power-slides . And of course 120# is more than you need for just straightline action with street tires.
I got these numbers by trial and error in my own cars.
Adjustment is by spring-pressure; more springs, different springs, shims, or by swapping thinner side-gear washers between the cones and sidegears.
If this is your first time, with an A-body, I would try 100ftlbs +/- 10#, no less than 90#.
RnR is only 1.5 hrs, less on a hoist.