Currently there appears to be no neutral platform for that minority to express their ideas and problems concerning the life in Estonia. Here's how I see one option of dissolving that gap:
Academic (non-political) alliance of Russian-speaking people would create their own interactive web-portal, which is updated in three languages and has modern graphical interface. At that portal Estonian people could read of different opinions by Russian readers and also there could be a platform for polite discussion.
This portal would reduce the information and understanding gap between the two nations or at least help towards that goal.
Written on the task "Choose a minority group and describe how they can make use of Internet to reduce alienation and prejudice."