"I imagine Eisenhower as a "J"; I think it takes a "J" to get things accomplished in the way that he did. Military commanders have to be able to sharply take in a great deal of information and process it, and pick the best course of action."
Except that his main claim to fame was the kind of diplomatic skills you'd associate with a P. He didn't keep the incredibly strong-willed batch of Allied leaders together by being a J, and keeping them together, convincing them to set aside various grievances and internal strife for the sake of the long-term goal, required him to bury any judgments he might have made personally and act in a dispassionate way. So whether he was or wasn't one or the other, his biggest success came because he could deploy the P rather than the J when he had to, and he had a vision powerful enough to get them to rally around that.
I have a book about him sitting on a shelf at home that some might find interesting. When the election results are in and I can go home I'll get the title and post it. (yeah, not good with details like remembering book titles. sorry.)