You admitted there were Ps who had been world leaders. Then you said world domination necessitated a "J approach". Without actually defining what you meant by that.
If it were the case that being a J gave one an automatic advantage in this area, then, given the fierce nature of competition for positions of power and influence, one would not expect to see Ps in positions of power.
I hate having to write 50 words when 2 will do.
Sorry I was thinking it was obvious.
Taking control over one county in much much easier.
Here is why, from the position of modern geopolitics.
You take a control over some country and by doing this you have become a player on international sceene. You have the option to be a good player or a bad player. (in a terms of good and evil). But if you start to expand your rule on others by force the world will form a colalition and destroy you.
This is what happend to many great leaders that were too succesful.
Also there is a fact that Ps can get to this position my "inertia" of the system (same can happen to J) So it is obvious that you can't do something like this directly. Maybe if you stockpile enough allies you will have a chance with this approach. But in the case of victory you would not have real control. Unless you plan to destroy your allies as well. What again takes alot of planning since you must be in a position to do it after original conflict ends.
So the only real alternative is more indirect approach. So you will have to do it through economy and privete technology reasearch. But on this level the world is much more complex and diverse and also it is much less inert. So you will need alot of energy and planning to have enough resources to stay in the game , expand further and keep the level of progrees you need.
Once you become strong enough you can start to efect governments. To get cheep resources or a favour. In return you will give large bribes to people in chairs. But in the big picture this is still peanuts.
Why do you think "the West" wants democracy in undeveloped countries? Becuse that means that they can pick their man and then they provide massive funding (for a third world country level). So their guy will win in the end. Especially since people in those countries don't have developed critical thinking.
Also you will have to carefully choose your pawns since there is no way that you can control everthing just by yourself. Not to mention that this could be risky. So this would require quire alot of planning even by NTJ standards.
The thing is that you can't take over the world if you plan to destroy the balances that keep everything in balance. If you do this you actually destroy the world and conquer it. (but that is another story). So you are forced to play by the rules but have the hidden agenda all the time. What is impossible without exensive planning and strategizing.