I know in the past you could get into the parks an hour to an hour and a half early, but if you have recently been to WDW how early are they letting you in.
Was there 10/8 thru 10/16, they only let you through the turnstiles at MK 8:50. MGM and Epcot right at 9. Didn't make opening at AK so can't help you there. We didn't do EE but went to the parks the day after EE.