I believe that every part of your body/mind/soul is trying to help you fulfil your full potential, even the parts of you that you think of as Inner Loser.
Alienating a part of yourself implies separation, which is ineffective in itself as separation is an illusion. This makes it difficult for you to be your authentic self on the veil of an illusion.
So instead, why not set an agreement with this part of you and work with it so it becomes an Inner Winner? Teamwork implies you guys are together or Whole. Now you got a someone on your side and can express your true self as long as you stick to your plans of self improvement.