Not quite sure where to start. g-man, you've got a lot of issues all happening at once.
All grease will separate, even the good stuff. A grease's base (clay or lithium soap) does not lubricate. It merely provides a medium to hold the lubricant in place. Otherwise it would be merely a viscus oil draining out and needing to be constantly replenished by a pumping system. There are several good threads speculating about the FSM calls out for different greases for the chassis, birfs, and bearings.
Moly greases are lithium soap based and are spec'd for high loading applications. 5% moly is widely available. 10% moly is harder to find. Look for heavy equipment grease; the stickier and more impossible to clean from your clothes the better.
Wheel bearing greases are clay based are are spec'd for high temperature applications. Disk brakes generate high heat. On aircraft the brakes get hot enough to ignite some greases and most FSM's caution tech's about using too much of even a high flashpoint grease.
DO NOT MIX GREASE TYPES! They react to each other and degrade the lubricating ability of both.
All that said, its a pain to stock multiple greases and worry about ruining a u-joint because your out of moly. I've tried both types over the years and have settled with using only moly on everything. Working in aviation we often have 'expired' grease that needs to be disposed of. Hard to imagine that 100 million year old dinosaurs expire (some of the additives do degrade). I've used a lot of 3 year old super expensive, synthetic greases in my cruisers. Cruisers don't seem to care much one way or the other so long as they always have enough.
My favorite is Aeroshell 64, MIL-G-21164D. Designed for aircraft operating between -80°F and 130°F, it stays soft even in NH winters. It does separate but not as badly as the clay bases wheel bearing grease Mobile 28. I would recommend using a 5-10% moly synthetic grease. Beyond that, I don't think it matters very much which brand. Its probably all sourced from the same refinery, who just dump it into different label buckets, send it to multiple vendors with varying levels of over-hyped marketing trying to convince buyers that their brand is somehow better because their label is red instead of green. (I'm pretty cynical about marketing.)