The girdle covers prevent the main caps from flexing backwards under load, this flex allows the ring and pinion to move in relation to one another and chew each other up. Your problem is not the main caps flexing and causing a ring and pinion failure, your problem is that the diff is hung from the cover, so the cover itself takes the load (along with the front diff mount) that the 4 link or whatever suspension setup is used on the solid axle would handle. The cover in a solid axle takes relatively little load, and the girdle covers aren't there to strengthen the cover, they're there to strengthen the main caps.
As for a solution, strengthening the cover will help, but might require some pretty serious trial and error. It's the elasticity of the mustache bar relative to the front diff mount that allows the cover to be flexed and pull the bolts loose. If the diff were rigidly mounted and the mustache bar redesigned so as not to flex, I think that would help too. Unfortunately that might be more of a race only setup as it would be loud inside. At least that's my theory after thinking on it for a couple minutes...