There is some evidence that orthodontic work like braces (not neuromuscular) ends bruxing in some people. I guess that can be considered a cure for some. Other evidence suggests that orthodontic work can cause bruxing, but this is typically if done incorrectly.
I know of no other potential cure for bruxing, with the exception of claims by some neuromuscular dental practitioners, but their approaches are too risky for most.
Bruxing and TMJ are mostly about management at this point. The right mouth guard might help. The right medication helps some people. in one case study, Gabitril is reported to contribute to the elimination of bruxing while on the drug, but this is merely and anecdote. Try medication that increases delta wave sleep.
There are infectious diseases that can cause TMJ, and sometimes symptoms can be alleviated with treatment with anti-biotics.