Car with excessive body roll?

My car (2006 Ford Fusion) drives down the road straight however i notice a light side to side swaying that the entire car does. The steering wheel doesn't move and neither does the wheels. Just enough to be noticeable but doesn't effect driveability.
What i've done recently:
New shocks and struts
Alignment
All new front ball joints and tie rods
New tires all balanced

My suspicion is i need new sway bar links (they are the original links and the car is 9 years old). That would explain the "body roll". What's everyone else think? Any help is welcome!

Please, there's no point in asking invisible strangers online to guess as to what may or may not be happening to this, apparently, new car for you. I have a 2001 vehicle with close to 100,000 miles and it has the original ball joints and tie rods. I think your guessing has obligated you to spend money you may not have rather than to get a mechanic to evaluate the car, inspect it and then determine what, if anything, the car needs. Question. How do you know the "wheels" do not ('doesn't' is not a word in English) move if you are driving the car?

Wouldnt cause body roll if your driving straight down the road