Will Invisalign actually change my face and apparently counteract sleep apnea?

Invisalign mores teeth in the available bone.  You sound like you are looking for orthopedic correction of your jaw relationship and that is best done with an Orthopedic treatment.Sleep Apnea can be treated with many oral appliances but if you are looking to cure sleep apnea consider utilizing the mRNA Appliance which is FDA approved as a sleep apnea treatment appliance which can also cure some patients sleep apnea by growing a larger airway pneumopedically while simultaneously growing maxilla orthopedically.

If you are hoping to get a stronger chin with Invisalign you will more than likely be sorely disappointed. Increasing the chin prominence requires orthopedic changes (changes to bone) and Invisalign is a purely orthodontic (movement of teeth) appliance.I would highly recommend you discuss expectations with your treating doctor BEFORE starting any treatment. Good luck! 

Thank you for your question,

The chances of a change in your facial profile and your chin prominence with Invisalign is pretty slim. But it depends on your treatment plan and the type of treatment you will be getting with Invisalign. Without your photos and your x rays, it is impossible to comment on that. For example, Some open bite patient who get treatment through a combination of Invisalign and temporary anchorage devices might experience minor facial changes. But most Invisalign patients do not see any changes in their face or chin prominence (unless it is combined with surgery).
Best of luck on your invisalign journey
Dr Sepi Torkan