Most conservative treatment for lip incompetence? (Photos)

Based on these photos, it looks like you need procedures on upper and lower jaws to improve you airway, breathing as well as appearance. There is no doubt that chin augmentation will improve appearance but it will not change your functional limitations. In person consultation with a maxillofacial or craniofacial surgeon is recommended first. Good luck.

It is possible that a sliding genioplasty would help wit the lip incompetence. In the single photo it appears that you are a candidate for upper and lower jaw surgery. A sliding genioplasty moves the chin forward and makes it easier to close the lips and relaxes the mentalis muscle strain. A sliding genioplasty is less extreme and does not require braces or change your bite.