In terms of forces exerted by the road and the tire on each other, ABS increases the force by keeping your tires in the "static friction" regime instead of the "kinetic friction". That is, objects tend to have higher friction before they begin to slip then they do after slipping. So when the system detects that a wheel has slipped, it reduces the brake pressure to the point where the wheel returns to the static friction case. (This is said to not work so well on deep gravel, but it's suitable for typical pavement.)
The other reason ABS is useful is because it allows the driver to control the direction of the force. That is, it helps you use your steering wheel to control the direction that the car moves. So one of the primary purposes of ABS is to help you corner.
If you slam on your brakes without ABS, while going around a corner, you will slide in the direction you're traveling. Since the maximum of rolling friction is larger than sliding friction slamming on your brakes will take you longer to stop. In addition, you will have no control on your direction and you will likely run off the road.
When you're stopping, your front tires take more of the weight of the car than the rear so I would think that you would lose traction on your rear wheels first. This would definitely make it more difficult to steer and more difficult to stay on the road.
But if, for one reason or another, only your inside front tire lost traction (without ABS), this would decrease the force on the tire and that would likely make it more difficult for you to turn. That is, you'd have more difficulty getting the car turned without ABS than with.
Interesting question. I look forward to see what others have to say about this.