the anti-roll bars help stop the body twisting on launch and getting all out of shape.
Also, think of the fact that you're doing 100mph at the traps...you want to drive a car with no sway bars at 100mph?
even in a straight line....
Drag racer guy I talked to once said he tried it with and without sway bars connected on his car...didn't seem to make any difference to how it hooked up, just was a bit more squirrelly to ride on is all.
My suggestion...leave them on, run the car with them connected, then try removing the end links on the front one - see how it feels.