Oversteer Options

[BonzaiCelica]

Well i just put in a new suspension set up on the car nothing to exensive since i didnt want like over a grand. But i have kyb gr2 struts with tanabe df210 dress up springs which dropped the car about 1.5 inches. Along with that i installed front and rear st sway bars. I still just have stock toyo spectrum not very good for turns. Anyays my question is when ever i take lane change really quickly,with a sudden jerk, my cars back end sways out a little and it not very convincing. if i were to go into a corner really fast it does the same to sways out a little. is this normal? If i were to get a rear strut bar would it blow out my rear kyb gr2 struts. Whats the cheapest brand of strut bars cause i know that c-one is expensive. Please help !! and Thank you