I would not add a softer sway bar.
First step, assuming you do not have any worn suspension parts, would would be to modify the factory alignment (Using camber plates) to increase negative camber in the front axle.
1. tires
2. differential
3. stiffer struts and dampers
4. then, things like sway bars, bushings..
Sway bar upgrades work best with other aspects of your suspension already modified, such as stiffer springs and dampers.
Also, when it comes to spirited handling (These are heavy AWD crossovers, come on) The stock differential(s) would be a pain point. I can't speak for AWD, but for FWD models, changing the stock open differential to a LSD requires custom work splitting the transmission casing, but would be the single most effective mod you can make for handling.
Assuming you are a good driver, ie. know how/when to trail brake, how to turn in properly, when to apply throttle, such as after the apex, (in other words, you can get the vehicle to rotate properly around turns) , no matter what you do to the suspension and tires the stock differential(s) will be holding you back.