You don't have to stay up till 2am to log in. You can just go to sleep extra early and wake up at 2am to start your day playing :D I know that's what I'm doing, although for me its 5am (est time) not 2am. So I'll prob take a "nap" around 11pm or so and wake up at about 4:30.
^ Following this plan too, Gonna play some ME3 with some friends and call it a early night friday night and set my phone for 4:30am EST. Odds are, the better-half will still be awake by then, she's a night owl, wheres I work in the morning so i can't stay up all night.