My 03 TL-S has developed a worrisome bad habit. During a very hard stop on the NJ Turnpike in the fast lane from 80 mph, the rear end pulled hard to the right. This car has always stopped on a straight line. Is this a symptom of sway bar links? Maybe a bad caliper? Thanks for your thoughts.

 

I would think caliper or bad brakes on one side- pull the wheel and calipers for inspection of both sides
Do you flush the brake fluid every few years--ever??
ck that out, and look at the sway bar end links/end bushings- connector whatever you want to call it