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Something is seriously wrong. Find a good local indy shop that PCA members in your area recommend and have your car tested. Maybe alignment, maybe struts, maybe rotted bushings, maybe something is just loose. If you live in snow country and drive in winter the road salt is murder on all undercarriage components and rubber bushings.

For reference my car has 88k miles, stock shocks/struts, 30+ track days and still feels rock solid at 135 mph in turn 2 at Fontana Speedway. I inspect all suspension components before every track weekend and everything is still very tight underneath. It has always lived in SoCal but it's first 5 years were near the beach so there was minor salt exposure.