I have heard folks complain about the ride stability before and typically that can be helped with replacing the cooshy factory shocks with something stiffer. Personally, I never felt that it was an unstable ride, but then again, I replaced my shocks a couple of weeks after buying the vehicle to make it a little stiffer. What shocks did you use?
Adding OEM E-lockers to an unlocked rig I think would get pricey if you had the dealer do it. The existing axle/diff housing can be adapted/modified to accomodate locking diffs (which I thing run about $800 to $1000 each new), then you have to add the locker ECU, wiring harness (which unless you build yourself, is mucho dollars new), replace right rear axle shaft, and install the rotary switch.
Obviously much cheaper if you buy them locked. If getting one with lockers is a big deal for you, you might want to consider saling yours and buying one with. If you can find them, typically the price difference is not substantial, because most folks don't even know what they're for.
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I used Gabriel shocks that go to my specific truck. I have a friend who said I could change the linkage out on my sway bar to something stiffer, but he was not sure that would do the trick. He said since I already replaced the shocks the sway bar was a place to start. Or I have heard replace the springs.