650cc Breast Implants to Get C or D Cups?

This may be large however I recommend you try on a variety of sizers at your next consultation to see what works for you. You may find that 650cc may actually give you a good result. 

At 5'7" 165 lbs theoretically anything over 400cc would achieve a C cup.  There multiple implant styles that can achieve the look you desire.  I recommend searching out a experienced, board certified plastic surgeon for another consultation.  There are some critical measurements that are performed to help determine the best implant for you.  These need to be done by someone experienced.  The distance in between your breasts is not likely to be conquered by using a larger implants and is part of the measurements taken into consideration during a consultation.