03blkstang

Hoping some one here can help me out, I have a 2003 Mustang GT for the past several years i've had this clunking noise when shaking the steering wheel left and right, the car shakes at highway speeds of 50 MPH and gets worst at higher speeds, I noticed it does it a bit more when letting off the gas ( not breaking simply letting off the gas ) My question is would the noise you hear in the video contribute to this shaking?

Just for reference -
This shaking has been there for years prob as long as the noise, since then I've had new wheels and tires, several alignments done and shaking doesn't seem to go away, most recently I replaced my shocks/struts.
I have lifted up the front end to see if the wheels move up/down left/right and nothing - i believe my tie rods are fine.

any help would be much appreciated, thank you.

Video -

school boy

Your rack may need replaced. From what I can tell. The rack bushings look tight, you mentioned wheels/tires, struts have been replaced and alignment done. I don't think it would cause this but check the steering shaft.