Keri Do, DDS

You are only looking at your teeth and not at the root cause of your problem. Your bite is determined by your TMJ (jaw joint), You need to take appropriate images of your TMJ (cone beam CT or MRI) first to check proper positioning of the jaw and then you move the teeth to support this healthy position . Without imaging, you are doing a guessing game and maybe moving the teeth into an incorrect alignment of the jaw joint, resulting in future bite,wear, joint problems and possible pain. 

You should voice your concern and get it redone  if you don't like. After all, this is your smile and you should be happy with it. However  it would be wise for you to inform your doctor at the crown try-in rather than after it is cemented. We usually do a try in with a variety of cement shade to make sure everything matches prior to cement. At the end, your dentist would want you to be completely happy with your smile.

Your main problem is that your jaw is too far back and your bite is overclosed. This will also create a TMJ(jaw joint) problem later on if your don't have one already. You can bring it forward without surgery by wearing a splint first. This will align your jaw properly and re-orient your jaw muscles. Then your teeth can be moved with braces. You will need to see someone knowledgeable in this concept which involves a combination of TMJ and orthodontics. Most professionals only have training in one or the other. 

Before your get surgery, you may want to see someone that can fix your open bite with braces and orthodontic appliances. You should see someone who is train to not only move the teeth but the bone to correct the open bite without surgery. 

I'm not sure exactly what's going on in your case since you didn't specify what other teeth are remaining in addition to the molars, and whether the teeth are located on your upper or lower jaw. But if you are looking at replacing all your teeth, you can 1) use multiple implants with fixed bridges 2) use less but still multiple implants for a implant supported denture 3) use some implants for a retained denture. They are listed in varying degrees of how close to natural teeth they would feel. All-on-4 is a trademark for a specific procedure but is similar in concept to most other cases for a lower denture. An upper denture with All-on-4 is a different beast altogether though and while possible, not placed by most implant dentists.