I have an uneven chin & smile. When speaking,my chin points left. When my mouth is closed there isn't much asymmetry. (photo)

It really bothers me how mymouth and chin look when I speak. It is my biggest insecurity. I do modeling but never open my mouth(I don't even have pictures where I show my teeth, you can tell by how unnatural my smile looks) and I always avoid speaking in public. Is any impprovement possible without having surgery? With fillers or professional facial massage? I will greatly appreciate any advice. Also, I will be even happier to get advices from doctors and specialists around Los Angeles area.