Take away the grading system or the pay, and the work won't be done. Identification is where you want to be like someone else and, thus, do and think what they do. Thus, if your favorite aunt is a singer, you may study hard on your voice and guitar lessons in order to be like her. If your father is a republican, you may vote that way because you identify with him and respect his political views. If you start to dislike that person, your actions, ideas, and values may change.
Internalization is based on the desire to be right.
If you hear a speaker who seems knowledgeable say something that makes good sense to you, you are likely to accept these ideas as your own. This is the strongest and most permanent reaction to social influence because our motivation to be right is powerful. You keep these opinions until they are proven wrong. If we are hoping to change some behavior or belief acquired via social influence, it would clearly be helpful to know if it was acquired because it paid off or because of identification or internalization. In addition to needing love, as we grow up we identify with older people, primarily of our own sex, and internalize many of their attitudes and values.