The chin implant procedure involves inserting a Silastic chin implant through a sub mental approach under local anesthesia. The implant will have no bearing or effect on the placement of the teeth, dentition, bite or TMJ.
You should see an craniofacial or oral surgeon before you consider any chin implant or sliding genioplasty. You may have problems with your TMJ or may benefit from jaw surgery. This needs to be addressed first. Hope this helps and best wishes.
Whether you get a chin implant, jaw augmentation or a sliding genioplasty, none if these will correct any bite issues. Which one of these approaches is best for a short chin/jawline requires photographic analysis and computer imaging to determine how each would look for your specific facial concerns.
From your description of your symptoms, you may have TMJ problem for which, you will have to see an otolaryngologist. As far as your chin is concerned, we will need to see a frontal and profile pictures in order to assess what is needed. Jaw implants are to widen jaws and make them more prominent.
From your description, before considering any type of implant, you need to see your orthodontist and or oral surgeon to resolve the problems you are having with your bite.
one important comment to make care is that nothing we can do in this format will be helpful to you because your issues very complex absolutely requiring in person consultation, exam, photography, and even x-rays.
In any case, I do not see how implants would be helpful to you and anyway regarding your bruxism or tension headaches or jaw pain related to malocclusion or an abnormal bite.
Definitely go see a few good oral surgeons before proceeding with anything surgically