Would a gingivectomy/gum lift give me the desired results? (Photo)

When I smile, a decent part of my smile is gummy. My teeth are definitely on the shorter side (photo 1). Questions: 1. Could my smile look like the photoshopped picture of my smile (photo 2) thanks to a gingivectomy all the way to my 2nd premolars? 2. What type of procedure/technique would be best suited for my case? Thank you. (Don’t be afraid to be technical with the answers.)