I'm not following you. You're saying that the diff pivots where the axles are? That would mean the case bends. I've seen several Z's where the front diff mount went, the strap snapped, and the front of the diff lifted up far enough that the driveshaft U-joint started beating the ebrake and the trans tunnel. I'm pretty sure the diff pivots at the mustache bar and the axles are just along for the ride.
The mustache bar's purpose is to transmit all of the torque from the driveline into the chassis. That's why it is anchored to those 2 huge bolts that come straight down through the frame rails. It does matter if the mustache bar bushings are solid or flexible, especially with a solid front mount. bjhines has posted pictures of a front diff crossmember that was literally TORN by the torque from the driveline. Making the mustache bar so wide and strong makes it a good way to transmit torque to the frame. The solid front mount alone is not a good way to do it. If the rear bushings are still flexible (even poly) you'll still have some twist going to the front mount. If you're going to solid mount it, solid mount it. Solid bushings in the back coupled with a solid front diff mount means that all three bushing locations handle the torque together, and that's the way it should be done in my opinion.