Would sliding genioplasty be a good treatment for lip incompetence? (Photo)

I have been able to reduce my lip incompetence with lip filler and Botox; however, I am still extremely self conscious of this issue. I want to explore my options to get this fixed but not even sure where to start. I have attached pictures of what my mouth is like relaxed from front and side profile. I have been researching at it seems that sliding genioplasty is a popular procedure for this but not sure if I fit the criteria. Any guidance would be appreciated!