Throughout someone's existence as being an introverted judger, they abide by their own code of values (I am saying values because I am only talking about Fi for this post) which has been in creation their whole life. They are concerned with making their own actions congruent with their own values. Extraverted judgers (and this is my perception and understanding) are concerned with making the actions of both themselves and others congruent with an accepted, objective code of ethics.
So you are right. Fi wants to be what it believes. Fe wants to do/see done what it believes.