Depends on which park you'd want to be in longest, but if the current closing times remain, 11pm for MK, 9pm for EPCOT and DHS and 8:30 for AK, probably makes most sense to start in Animal Kingdom. Then at 1:15-1:30 start making your way to the bus to go to Hollywood Studios.
From there you could walk, boat or skyline to Epcot, saving time by not waiting for a bus.
Then you could walk around the world showcase before heading towards the front, then you could either monorail or bus to the MK.
If you did this on a Wednesday where Mk was also open til 1am for deluxe resort guests and you were staying deluxe, that'd give you more time in the other parks as well.
Enjoy your day!