Will Invisalign help with my gummy smile and small teeth? (photos)

Your orthodontist sounds right, you could get good results with Invisalign and gum contouring, which we call Osseous Crown Lengthening or Esthetic Crown Lengthening. They should refer you to a periodontist after Invisalign is completed. You appear like you would get good results and good improvement with these procedures, however, if you want perfection you may need to move your maxilla upwards which is done in a hospital with an Oral Surgeon, is more invasive, and is called LeFort osteotomy.