will rear sway bar help stop side wall rubbing

not the trim i checked thats its the quarter for sure
when i had wheels off i installed the trim marked the wheel lip removed trim and ground the quarter up to the trim guess that wasint enuff
i really hate to get smaller rubber but i have no ideal what else to do air shocks???
car was empty pretty much to just me 150 pounds a air cleaner box in the trunk lol
hate to see what happens loaded with 4 guys and a cooler u can see the rub mark on the tire in 2nd pic just across the top of the O and D and above the r