NFs wouldn't have the coldness needed.
SPs would be to busy having fun.
SJs don't want things to change.
NTs obviously are the most suited to taking over the world. Here's what each type does for the effort:
INTPs: Being an idea factory, the INTPs will be left to come up with ideas to aid the cause. When they have, they report to the INTJs.
INTJs: Perform reality checks on the ideas come up with by the INTPs. They make sure that the ideas aren't just hairbrained, but feasible and effective.
ENTPs: Public relations and propaganda will be their domain. Being most suited to interaction of the 4 NT types, they will be able to recruit new followers and convince others of our divine right to rule .
ENTJs: Will lead the effort. A body without a leader to execute plans and allocate resources is just a waste. The ENTJs will head the effort. They will take the ideas the INTJs gave them and put them to use.
Obviously we have a potentially skilled coalition here. Of course, I get many ideas. But I'm not about to do anything about them :P. I thought this was a fun idea. Post your thoughts, criticisms, etc.