Perhaps the best aspect that games like these bring, is the way people work together to achieve the overall goal. Children are still learning this aspect. If you really want to bring education to the (gaming) table, perhaps you can focus on that aspect. When a situation arises that can be beaten (far more) easily with teamwork, where a group of individuals would just pursue their own interests and fail, you could see how they play through it and then pause the game to reflect on it. Ask them why they did what they did and have them think about it. Then provide suggestions in the line of team work and how that would have helped the situation. Explain to them the differences in approach and how they all depend on one another to get through it more easily. Make them see that relying on one another in such situations is better than letting the others fend for themselves.
But I agree with the sentiment of the first reply to your post on that website: try to keep the game a game. Once it becomes too educationally focused, it stops being fun to play.