i doubt soil cement will fix what you're talking about unless the movement is only in the upper 12 inches or so (unless you cut out, fix what's underneath and then put it back on top).
my cutoff (while standing there in the field since i'm not a fan of blanket recommendations either) for using stone stabilization in roads is usually about 3' or so(2' can bridge over some pretty bad stuff--usually). i put seperation fabric below/around the bigger stone in the bottom and i'll usually go with at least 1 1/2 feet of 6-8" stone and/or #3 stone. then i cap it off with graded aggregate base type material.
i've had some contractors use reinforcing fabric under say 1' of GAB with good results, but that was on "marginal" subgrade (not goose poop type subgrade).
i've never personally used reinforcing fabric down deeper and it seems to me (based purely on my "hunch") that down deep, the reinforcing fabric doesn't do a whole lot. however, the seperation fabric does a better job of keeping the surrounding soils from migrating/oozing in to the stone layer and turning it in to an expensive mud layer full of aggregate.
as far as the layering, i have seen reports somewhere before but don't recall where. i envision that the intermediate layering would help to distribute the load in to larger areas and effectively help the cause of stabilizing. it should help limit particle migration to the underlying conditions too i suppose. i haven't run the numbers, but it almost seems more cost effective to just fix the problem instead of spending lots of money to bridge over the problem. i have seen instances where grid and stone by the contractor but simply didn't work for whatever reason so someone spent a lot of money just to dig it back up again. however, i know there are times where old, crappy utility backfill is the culprit and realistically can't be dug up and put back in without massive costs. luckily, they are usually more than 2-3' down in roadways ("usually" being the key word there).
i think my ramblings might be hitting on some of what ozarkgeologist was looking for. as others mention, there's a lot of factors involved with figuring out what is needed to "work"...heck, even the definition of "work" varies with the person you're talking to and the project.