My opinion is that EJs are the ones that really want to run the show and not INTJs though they often end up in leadership roles (as ISTJs do as well).
Here is my logic for the three I voted for:
ENFP - Can be a very inspiring leader. Understands the constituency and what they want. Flexible negotiator who is able to strike compromises. Bill Clinton is a good example of an effective ENFP leader.
ESTJ - They get people organized and get stuff done. Though not the most inspiring leaders, they clearly enjoy being in charge and are pretty effective in running a routine operation.
INTJ - Thinks about the big picture and all the component parts. Good transformational leader. Not as good at maintaining something that doesn't need to be changed.
Ones I didn't pick:
ENFJ - ?? don't get this
ENTJ - Probably have the greatest desire for power. Think they are better leaders than they are. Studies that I've seen of different types of leaders shows them to be no more effective than any other type. They were actually not rated towards the top.
I could see the inspiring part, but I think they'd be best if left to their own devices rather than put in charge. Perhaps have them as a rhetorician (or court jester, that works too.)
Eh, this is the classic megalomaniac type, so no thanks. Also, they have a tendency to be pretty strict about whatever it is they believe in, so I think they're best if they're given some sort of political or military post where they can get shit done but still have to answer to someone else.
I don't really see this working out. I think they'd probably abdicate, which I'd expect from any of the IxTs (except maybe ISTJ.)
ENFJ is a decisive In Charge type that's tempered by Fe. That means they'll not be weaklings, but they'll be compassionate and their power lust will be held back by their concern for humanity.
Yeah, ENTJs are glorified ESTPs. The megalomania would be even worse than with the ESTJ.
Look at the differences in terms of expressiveness and responsiveness. Expressivness is I/E and cooperative/utilitarian. It tells you how much a person likes to approach others in interaction. I/E is the basic social level, and C/U is about leadership. Responsiveness is people vs task focus. This is covered by either T/F or J/P (one will be the social level, and the other will be leadership). People/task tells you how much the person wants or will accept the presence or influence of others. It is marked by the meeting of "criteria"
So ENFP is expressive on the social level, cooperative in leadership, and people-focused in both areas. They're more about "inspiration" as you said, rather then domination. If their leadership temperament is a variation of NF known as the "Supine in Control", they may be a "loyal lieutenant" to the person or institution in charge, and appear to be dominating.
ESTJ is completely task focused, and expressive socially, yet cooperative. A dominating company man, following someone else's orders, as if they were his own.
INTJ reserved socially, but pragmatic in leadership. Completely task focused. Can be a silent, aloof dictator (Said to be "hard on others", and also themselves as well).
ENFJ expressive and task focused socially, but cooperative and people (diametric opposite) focused in leadership. May also possibly be Supine "lieutenant" following someone else's orders. Will on the surface be similar to ESTJ, but as was said, tempered by Fe.
ESTP - fully expressive, and socially, task focused, while in leadership, people-focused (think of their "showmanship"). Will be somewhat similar to the other "In Charge" types on the surface, but have less of a "serious" streak.
ENTJ - Completely expressive and task focused in both areas. (Hence, the ESTP "glorified" with that additional task-focus in leadership) plus the Will be more about their own ideas in leading than following anyone or anything else, hence, not being as effective as one would think.