The Service Manual says to remove the core support to frame and body to frame bolts and jack the body up off the frame. This allows the engine to be lifted higher. I've done this, I go up about 2" at the mount under the A-pillar, it really helps a lot. On a Ty be careful of the front fender arches getting caught under the bumper when you lift the body. We cracked one of Jason's arches lifting the body and not paying attention. If you are only accessing the 3 bolts between the mount and the block, go in through the wheel well. Take the tire off and inner fender out.
If you are trying to access the bolts between the mount pad and the frame, good luck. The only time I had these bolts out, I also had the lower A-arms off. I don't think the diff has anything to do with accessing the pad to frame bolts.
I would say motor mounts are one of the fussiest things on a SyTy. They are a bitch. Solids are even worse because they don't self-index. Difficult to get them installed with the bolts lined up, and no stresses. I've installed two sets of solids. Both trucks broke the mounts or the bolts fell out within 6 months of daily driving. Too much stress, and a weak designed part.
One more thought for the driver's side: Remove the exhaust manifold and do the mount from the top. Other than the power steer pump bracket (which requires removing the pulley to access the pump bolts) this is pretty straight forward. Just remember to put the big bolt back in from rear to front (the nut goes on the front). If you put it in from front to rear, and in the future have to R&R the engine for some reason, you'll be pulling the manifold first to get the bolt out. (Found this on a Sy I took the engine out of. Added an hour and a half to a one hour task.)