As stated this has already been done to NO effect save that i'm poorer!!
I think that I agree that the struts and mounts need to be replaced, and I'll do that. My mechanic (not a Hyundai technician!!) is on the same page as you, so we'll see how it goes. If there is any way to get back to you, I will after the job is done -- I'll have both replaced.
The solution you suggested and agreed with will be applied tomorrow AM. I'll let you know how it goes, and if not well, well I guess we could "guess again".
Alas, as i said, the links have alreday been replaced by the HYUNSAI mechanic. Tomorrow, its both struts!!
Links and bushings it was!! Sorry to be confusing -- I'm the physician, you the mechanic
Check with me tomorrow at this time.
So, its done, and it worked. The passenger side was totally broken, the other on the way. Worth the money -- noise gone, the ride returned. No way the Hyundai expert mechanic should have missed that!