Sway bars don’t improve traction?!
Uh, how do you think they improve body control? They add wheel rate, that’s how. And specifically where it’s needed during cornering. If you think that can’t improve traction, I’m not sure what to tell you.
Can you go too big with the sway bar? Sure. It really depends on your tires- if you don’t have enough grip for the effective wheel rate the large front bar gives you the car will understeer. Just the opposite with too much bar in the back, you get oversteer as autoXcuda said.
The trick is to match the wheel rates with the capabilities of your tires and the balance of your car. If AJ is still oversteering with 235’s, 1.03’s and a solid 1.125” bar in the front with 295’s in the back though I don’t think you have much to worry about. You’d be hard pressed to find a 17” tire up front with as little grip as the tires that are available in a 235/60/14, and if those 295’s aren’t more than balancing it out you can add a bunch more front bar before it’s an issue.
Also keep in mind not all of those bars are the same. The 1 1/4” Hellwig bar is a hollow bar, pretty sure the 1 1/8” bar is solid. The Hotchkis 1.5” diameter bar is hollow too, and without knowing the wall thickness it’s almost impossible to say what the rate actually is. All three of those bars could easily have very similar rates.