From looking at your pictures, it looks like the alignment is completed. Now even if after alignment your upper teeth are looking forward and needs to be set back, your orthodontist will suggest removal of some teeth. It also depends on how your bite is on the back teeth.
Next Steps
since your treating doctor would have the best idea how your teeth were originally, it would be better to discuss with the plan once again with them.
Health Tips
on the other hand, if you are comfortable with your appearance now, you can talk to your doctor about not removing teeth and finishing the treatment.