My biggest insecurity is my lip shape and proportions. Will a lip lift help? (Photo)

My biggest insecurity is my lip shape and proportions. I did the filler with amazing injector and never got even close to desired look. I have an overbite and grinded teeth leaving an overhanging upper lip and "beak" like appearance. It smushes down on my bottom lip as well and at times when I relax my face my bottom lip will also be so smushed it can curve down and touch my chin. Its TERRIBLE! Will a lip lift help this and per say take the "pressure" off my smush look?