Wow... This is a very wonderful and educative write up, you have really brushed me up with this. During my school days as an electrical and electronics engineering student, we always had courses in common with AE students and I have very good friends there too....
You forgot to add to the qualities of an AE is the ability to put down machines machine drawing and also analyse and being able to construct agricultural equipment and machines.
Atleast I got that from my friends during my school days.

Nice one at @jeaniepearl