JJ..,
The track bar attaches to the top of the axle on pass. side...& to a bracket on the frame on the driver side.
This bar centers the front end on the frame if you will.
Ea. end has two bushings, a center sleeve, & bolt-washers-nut.
If your rig is lifted.., the add-on drop bracket on the dr. side sometimes break.., but more likely the bushings are shot..!
In either case., the steering does exactly what you are describing...the body shifts left to right.
All the EB supply houses have these bushings & brackets.
You're doing fine.. & welcome ..!! B)
Your signature page info. will show at the bottom of your posts ea. time (see below in blue)....if you enter it using "my controls" at the top of page.
Have fun with that rig....
HTH
B