The purpose of an anti-sway bar is to keep the body lean down, and to affect the way the vehicle handles (i.e. understeer or oversteer). As it goes into a turn the understeering vehicle wants to keep going straight, so the driver automatically feeds in more steering input. The car that oversteers in a turn will tend to want to turn tighter, forcing the driver to reduce the steering input. Most vehicles in America are set up with a lot of understeer, since it is deemed to be safer by the auto companies. Therefore, removing the front stabilizer bar, which contributes to vehicle understeer, would be deemed unsafe by the auto manufacturers. But many of us (myself included) have added a lot of weight in different areas on the truck, which also has an effect on under/over steer. Then we might have switched out springs, cranked torsion bars, changed wheel backspacing, etc. All of these things affect how the vehicle handles as much, if not more than, the removal of the front stabilizer bar.

So, the general rule is this: Find out how your vehicle drives and handles, and be prepared for it. If you remove the front stabilizer bar and the truck has less understeer (likely), or even slight oversteer (unlikely), learn the way the truck handles and be ready for it. Remember that almost all race cars are set up with oversteer, so oversteer in and of itself is not a bad thing if the driver is prepared.

By the way, my truck with the bumpers, chevy springs, cranked torsion bars, and no front stabilizer bar still has plenty of understeer.