If you aren't staying onsite, then avoid the park with EE mornings. However, if you are staying onsite it behooves you in many ways to go to the EE morning, and when it becomes crowded (around 11 am), then move to a park without EE morning.
We always do at least one EE morning in each park. We can get so much done the first hour to hour and a half. And considering the time that you are going (HOT), the earlier you can get into a park, the more comfortable you will be... especially AK... it is hotter than any of the other parks.
I would do EE morning at MK on Sunday, MGM on Tues, Epcot (the only day it is offered), on Wed ( only if you are interested in riding Test Track, or Mission Space has opened by then),otherwise it really isn't necessary, and AK on Friday. Then go to non EE parks on the off days.
We really do swear by EE mornings and Fastpasses! Don't forget to use them, as well!
Have a great vacation!