Doesn't....not don't.
Could be the bald tires. When they get low, the tires can follow imperfections and grooves in the road more causing the front to be light. I remember on my 03GT when the fronts got pretty low the front end would dance around on the highway. I'd have to hold the wheel tight.
I'd do as suggested above and put the front on jackstands and start wiggling things. Check the A-arm bushings, the balljoints, the tie rod ends, the sway bar endlinks (make sure they are attached and not snapped off) and other obvious defects. Also, with the car down, give each fender a push down and see if there is any significant bouncing indicating the struts are blown. Check for leaking or just looking like a POS strut.