Only way you get get rid of some of the flex is go to a bigger size angle like 1 1/2x.100. But like stated before it's not a good material for a gokart frame. You would be better off using pipe.
i built a go kart out of 1.25 x 1.25 x .125ish angle iron from a bed frame. It has a fair amount of torsional flex but i haven't had any problems with it. If you have the angle iron available, use that, but tubing would be better.