Right the casein part of the protein in milk and fat slows the absorption of the protein and take longer to digest.. not really what you want after a work-out. You want to be able to feed the muscle rapidly. Using the milk pre-work-out will help to slow the absorption which can help during your work-out.
Any type of container will tell you take the product X amount of times a day. It doens't mean that that is necessarily the correct way of doing it.
If it were me, I would do the muscle milk pre-work-out, and take in the EAS with some type of carbs like an apple or something not fat, post work-out.
My 2 cents anyway