I don't see how this can be answered unless we know what sort of surface terrain you are talking about, in addition to *where* in the turn you are having problems. i.e. Are you wanting more side-bite or forward bite? By that, stiffening one end of the car reduces traction in that end (giving the 'feeling' of added traction in the opposite end). However, the type of surface (ie can you grip the road well or is it slick, or loamy?)...in addition to the terrain (i.e. smooth, or big bumps, or lots of small ruts., etc etc.) is key as do doing something for one will have the opposite affect obviously on the other. ;-)
I would personally begin with different tires. Even the smallest tread/pattern change can make an enormous difference. It's not subjective. Wrong tires and your vehicle will fight itself p;-(
Concerning your question specifically, on-power/off-power steering is dictated almost exclusively by the front diff (this is why their are options for different viscosity). General guidelines: lighter more off-power steering, thicker better on-power. It's really a preferences (do you like to throttle though turns or hit the corner entry hard, coast the turn then punch it on exit)(? However it's a setup change among many, whose clustered effect give the vehicle a specific characteristic.
Regarding sway bars and stiffer shock oil....they actually reduce traction. I'm not sure how others on here use them but in off-road they are used to reduce traction on that end of vehicle (by limiting chassis roll, of course)...I assume you are off-road since you noted "bashing". ?
I do agree with above the weight distro is key here...but the question is do you want to prevent weight being sent to the rear or sent it to the front there is a huge difference between the two). So like when you hit the turn the amount of weight you send to the front will needs to be known (as does surface/terrain). Otherwise I can just give you general info but not specific unless I guess.
So I will guess ;-)
Assume it's off-road (hard dirt) bumpy terrain. Problem is corner exit, the Jato pushes...you want maintain the weight up front going in to, through, and out of the turn (remember, exact opposite of sending the weight there)
You hit that turn and keep consistent speed then fire out of the hole (where as someone who like off-power steering would hit the corner hard then brake (transferring weight as he coasts) then transfer again when he hits cornet exit)
Anyway, that is how I drive and I've had to battle this issue one a few vehicles so in this instance, below is what I'd recommend. Id make one change then the next etc so you know what works/doesn't.
1. Try a set of tires intended for that surface
2. Keep trying until you find the right pattern (as nothing below, above, or side-to-side) will work with the wrong tires
3. Reduce antisquat (this will drastically reduce help how the rear raises (or not) hitting the turn and dips (or not) leaving it. I'm unsure what the stock setting is for Jato but go 0 degrees if needed.
4, Stand shocks up in rear.
5, Lay them down up front
6. Increase droop up front
7. Reduce droop in the rear
These settings are pretty much intended for the examle I noted, which is nice because you don't rob peter to pay paul. ;-) I know it's a long response and I don't understandn the science behind it I just know it's what I have found to work for me and I drive until I get me some serious KARNAGE!!!!! ;-)