Occam's Banana, perhaps you do not understand what is meant when someone refers to Jeffersonian FP. It is not an approach that says "What would Jefferson do (or think)" but instead is one of the four major schools of thought of FP, and it is named (by Russell Meade in his work on the subject) for the president that he felt best represented the FP school of thought (the others being Wilsonian, Jacksonian and Hamiltonian).
So really, arguing what exactly Jefferson might have thought about this, that or the other thing is pointless. Because it really does not change the fact that non-interventionists of all shapes and colors are generally referred to as Jeffersonian. I will concede though that is one of the problems we have with labels, because apparently your idea of what is Jeffersonian differs from others, but I am using the generally accepted term as defined by Meade.
So take the Jeffersonian label out of it and I will repeat what I stand for, and have stood for for 40+ years. We should not intervene in the internal affairs of foreign nations unless there is a direct threat against our country's interests, we should not have troops scattered throughout the world, we should not be involved in nation building, only Congress should declare war, and finally we should have the largest, most powerful military in the world so that if we are called to war we will win it decisively with minimal casualties on our end.
I frankly, don't give a shit if Jefferson would have agreed with me or not on all these points or not. It is what I stand for, and I feel my views line up pretty closely with where Rand is on these issues as well, which is one of the reasons I financially supported him and will support him when he runs in 2016.