They will lower my center of gravity 

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This is the first time I have done one where the carrier shims went under the bearings .
That is what I did but with a burr in a die grinder . Still took forever .That's one thing I dislike about Dana axles. PITA to setup gearsets. I buzzed out a set of bearings with my dremel for setup bearings. Took forever.
I could have , but the 70s 44s are not really made for outer shims like a newer 44 or 8.8 is .You don't 'have' to shim it from the inside, haha... TJ 44 rears shim from the outside! I found that out after tearing my front end apart on U.A. to replace the broken parts in my detroit and found .014" backlash. The shop I had set it up must have done it real loose! I used a bearing cap as a template and cut shims out of popcans to get it back down to .010" before putting it all back together at Rausch Creek, wish they had caught that in the vid......lol.
That's one thing I dislike about Dana axles. PITA to setup gearsets. I buzzed out a set of bearings with my dremel for setup bearings. Took forever.
Got the backlash @ .008 but the pattern says the pinion is too close . And unlike a 8.8 the pinion shims are under the race so i have to knock it back out with a brass punch . Maybe tomorrow it's too damn hot .
Shit I have Jeremy coming over Sunday to help me with mine . Your 60 is newer so the shims could be inside or out I don't know . Do you have everything still together so you know where the shims go . Also we need to measure your shims to get a starting point .damn you better get your practice in greg you have to help me with mine! (in the A/C if its hot)
When I first but the carrier in there was no backlash couldn't even turn the pinion or ring . So we had to go ahead and set the backlash .I made a set up race too.
I've had the best luck getting the pinion depth right by reading the pattern first, then pulling the backlash into spec with the carrier shims. Just don't let the backlash get too sloppy while you're setting the pinion depth of course.
Pinion depth good - set backlash - recheck pattern - 90% of the time its good - seal it up.