Well, during morning EMH at Epcot, the attractions that are open are Living with the Land, Mission Space, Soarin, Spaceship Earth, and Test track. Not sure how tall your 5 and 7 year olds are, but both Soarin and Test Track have a 40 inch height requirement, Mission Space has a 44 inch height requirement. Generally, morning EMH is an hour before regular opening. I would get there before the EMH starts and be there for rope drop.
Then, I would head to Soarin and do a baby swap. Let the CM know you want to do a baby swap and they should give you or your husband a fastpass to return to the ride. Usually they let the older kids come again as well. Or, you and the older girls could get fastpasses when you enter Soarin and you could ride with them after they rode with dad or vice versa. After that, I personally like Living with the Land, but it might not be interesting to a 5 and 7 year old. I would then head to Spaceship Earth - all of you can ride that.
After, that, I would Nemo should be open, so I would head there. Then head to the Imagination pavilion and do Journey w/ Figment and Honey I shrunk the kids. It should be around lunch time by this time, so I would head to The Land. If it's too early for lunch, you could try to see Circle of Life and then eat or vice versa if it is lunch time.
After lunch, I would head to the other side of Future World. Do Ellen's Energy Adventure, Mission Space if you want/can with height restrictions, and then a baby swap at Test Track. You might be able to do the single rider line at Test Track - we've done that many times and always got on really quickly. Just know that if you take the single rider option, your girls might be in a different car than you.
After that, let them take a break at Innoventions and play with some of the games. Maybe look around in the shops. Get a snack.
Then, I'd go to Mexico and do the boat ride and look at the shop. It should be about time for your dinner reservation. If not, try to do Maelstrom - I'd skip the movie - you can just walk through.
Then, for the rest of the night, just make your way at your pace around to the rest of the countries.
Hope this helps. Good luck and have fun. Make sure to see the Santas in the different countries that should be there. Take advantage of the Candlelight Processional at the American Gardens theater - the showtimes are 5:00, 6:45, and 8:30. If you want to go, you should plan on lining up early.