You can't "kill the part of you that cringes." Cringing is part of how you know there is a subjective "you" inside. Cringing is one of a few physiological responses by which your innate subjective experience can produce any qualitative significance to otherwise-empty signs like "I," "myself," etc. If you could not cringe, or enjoy yourself, or scare yourself, etc., you would be a philosophical zombie. You would be nothing other than a name on a birth certificate, or an envelope, or a gravestone.