I had jaw surgery 4 years ago to correct my overjet (10mm). Unfortunately it has now regressed almost back to where it was (8mm). They are unable to redo my surgery due to condylar resorption. They best they can do for me now is to put my braces back on (something as a 25 year old I am not exactly thrilled about as most of my friends got rid of their braces 10 years ago) to try and correct the overjet as much as they can. After the surgery my teeth no longer meet on the right hand side, so the braces will fix this for me too. They have also suggested genioplasty for me to rid me of my slight double chin effect I have as a result of my slightly receded chin. They mentioned that my nose also contributes to the imbalance of my face, so they did mention rhinoplasty for me too.
So whilst jaw surgery will fix the problem, i think genioplasty can be a good way to disguise the problem. If the bite of your teeth doesn't bother you, and you care more about the appearance of your profile, it could be a good less-extreme way to achieve your desired appearance. Unfortunately for me I don't have the choice!