Which treatment works the best and fastest for shoulder joint dislocation?

Emergent reduction: Traumatic dislocations are emergencies and should be reduced (put back in) asap--best done in the er. Follow up treatment depends on age, activity level, history of prior dislocations, associated injuries (fractures, rotator cuff tear), etc. Current research suggests young (<30) contact athletes benefit from stabilization surgery after a first-time dislocation. See a sports/shoulder specialist.

Pick best or fastest: Surgery may be the most reliable way to prevent your shoulder from dislocating again, but this certainly isn't the fastest way to deal with the injury, as post-op rehab takes several months. Physical therapy and a gradual return to activity will be a faster method of treatment, but it has a higher risk of a repeat dislocation.

"best" = different: The "best" treatment for a shoulder dislocation needs to be tailored to the individual. I agree that non-op care is the fastest. If your risk of a recurrent dislocation is low, than it is also the best. If your risk of your shoulder dislocating again is high, then it is possible that surgery is "best". There are many factors that affect your risk of a recurrent dislocation. Talk to your ortho doc.