There are different surgeries and different approaches which could "fix" your profile. You have experience with fillers, so you more or less know what those can do for you.
The first thing that needs to happen is understanding your exact needs, likes and dislikes. Custom Implants could be a good...
Computer imaging could help in determining the cause of the asymmetry in your face.
Custom implants will not give you a "witches chin" when designed correctly. A thorough analysis of your face needs to be performed to determine the root cause of your concerns.
Best wishes