Is cervical dystonia curable with surgery?

Controllable. Controllable yes, curable no. Check with your neurologist for the best treatments. Options include medication, Botox injections, nerve ablation or deep brain stimulation. If your general neurologist finds this difficult have them send you to a movement disorder specialist. Hope this helps.
Possibly. Cure is a very strong word in this context. Most forms of dystonia are difficult to treat. Severe forms in children are now being treated with deep brain stimulation. Dbs can make a major difference in functionality and life style, but beware of people claiming "cure".

Related Questions

Is surgery more effective than medications for treating cervical dystonia?

Not necessarily. Medication, including Botox therapy, are first line choice.
Neither is good. Cervical dystonia is a inability to properly relax the neck muscles. It may be associated with brain disorders, usually of the basal ganglia. If this has been present since childhood and is stable, there is little you can do. If it is a new condition and getting worse, then detailed neurological evaluation is appropriate. Trials of medications or surgery must be carefully evaluated.
Cervical Dystonia Tx. Botulinum Toxins are the first line medications for Cervical Dystonia & the majority respond to injections. The Type A Botulinum Toxins are Xeomin, (incobotulinumtoxin a) Botox and Dysport. The Type B Botulinum Toxin is Myobloc. They are all equally effective. Deep Brain Stimulation is for those that don't respond to Botulinum Toxin and works very well for 50% of patients.