You can see it differently but the physics doesn't change
edit When taken too far the inside wheel will lift off the ground. This is the big bar, soft spring as described by 5spdcuda. It's not just theory, this actually happens in some instances during competition. For street most people just notice the flatter more predictable driving.

In all seriousness, at your level of interest Frankenduster, you would really enjoy any of those books on the reading list.

I'm going to add a magazine article to the reading list which involves adding a sway bar to a circle track car. It doesn't do the physics, but describes what is happening based on the data (photos, tire temps and lap times).