Emme,
you can enter Epcot at any of the Gates for an EE day at Epcot, and stroll through to Future World. There will be CM's along the way blocking off portions of the WS, but not a problem to get to FW from the International Gateway.
I wish there was a way to do this during EE for the MK (to use the Epcot monorail)...taking two kids and strollers on buses can be difficult from the Epcot resorts.