Sway Bar
Generally the stabilizer bar end links break before the bar does but the bar can break. You will have to physically inspect the system to find out why it is loose. Worn/damaged stabilizer bar bushings could also be the cause.
The stabilizer bar rotates on the stabilizer bushings (usually 2 bushings required) be it front or rear of vehicle.
Which would be evidence of price discrimination at a local bar called the Stabilizer
It would be unusual for the entire stabilizer bar to require replacing - typically just the stabilizer bar links wear out.See "Related questions" below for the information on replacing the links.
Do you mean Stabilizer Bar?
What kind of Jeep??
The bar is called the stabilizer bar and the small rod at each end are called stabilizer bar links. The stabilizer bar links attached the stabilizer bar to the lower control arms. This assembly reduces vehicle roll during cornering. This is good information for you, call Strutmasters they can help you with any of your suspension needs on this vehicle.
You named them in your question.
You mix stabilizer powder and water
Stabilizer link = Sway bar link in old guy speak There is a metal bar called a sway bar that runs from side to side on most cars. It is attached to the suspension to the bar by links in most applications Some light trucks mount the bar to the axle and link to the frame from the ends of the bar.
Stabilizer link = Sway bar link in old guy speak There is a metal bar called a sway bar that runs from side to side on most cars. It is attached to the suspension to the bar by links in most applications Some light trucks mount the bar to the axle and link to the frame from the ends of the bar.