This should go on Parks board, but in any event, if you get to the park first thing ANY morning, you should walk right onto Everest. Then just get a fastpass for Kiliminjaro if the wait is longer than 20 minutes.
I have only been once to AK during EMH but I would NEVER do it again. If you want to have no wait go when its not EMH. AK park is open such a short amount of time that everyone wants to get that extra hour in. If you are using Disney transportation you should really steer clear. Talk about a wait. Even Everest couldn't compare to the line for the bus at 5 pm.