Chin liposuction or implant - which procedure would address my asymmetry and deliver a heart shaped appearance? (photos)

From your side profile photograph, it does not appear that you hardly have any fat at all in your neck, but you do have a recessive chin profile. Consider placement of a small chin implant under local anesthesia as an outpatient procedure, which takes about 30 minutes.

Facial aesthetics are primarily determined by facial bone structure.
Likewise, facially symmetry is also based on facial skeletal structure.
Soft tissue coverage tends to be pretty consistent from person to person and from side to side.
It is therefore facial skeletal structure that needs to be Addressed when contemplating changing facial shape if the treatment is going to dress the underlying primary ideology.
All people have significant facial asymmetry.
During embryological development, the two sides of the face develop independently from each other eventually fuse in the midline.
The human brain is accustomed to seeing facial asymmetry as being normal because everybody has it.
You probably don’t see your family or friends having facial a symmetry, even though all of them do.
Your degree of symmetry is very much within one standard deviation and should not be treated.
Asymmetry has very little to do with aesthetics (attractiveness).
Attempts at changing the shape of the face is therefore pretty involved and complex guy.
Soft tissue solutions to problems which are based on bone structure typically do not always give the desired results and typically give partial improvements at best.
Based on your pictures, I don’t see a strong indication for doing this kind of work.
If you consult with enough plastic surgeons, you will certainly find surgeons willing and offering surgical procedures.A certain degree of caution may be in order.
Best,
Mats Hagstrom MD