Yes, if I understand some of the recent reports correctly, the dominant Shiite ticket (with 48% of the vote) includes a fair number of friendly Sunnis and others who are not Shiites but were approved by the Shiite leader. So some of the Sunnis in the government may be foot-dragging enemies from the Saddam-loving regions, but many other Sunnis will be friendly to the Shiites, part of their ticket, and willing to work closely with them.
It was done once in Lebanon, before the troubles. They had an elaborate system of checks and balances worked out among the three major groups, and it was highly successful. The country was free and prosperous. I'm sure many Lebanese, including Muslims, long for the return of those days.
My wife lived for a time in Beirut as a kid, back when it was a wonderful place. Still has great memories.