The country I have chosen is a republic, so players would get to vote which seems to be the hallmark and helps move the game along. They would vote for a president/prime minster sort of figure who would be in charge of actually telling me how to play the game. A candidate would require at least 33% of the vote to actually win. They would have 27*% points to spend on stats rounded down. What this means is if they barely win with 33% their ruler would have 9 points for stats or would be a 3-3-3 ruler. I feel this better reflects government unity. Doesn't matter how good your are if the congress isn't helping you or even hindering you. Now, to make sure that not every ruler is a 3-3-3 the ruler can form coalitions. So there is one week for the vote, then one week for forming the government. To ensure that the pattern isn't vote, then everyone support him in the forming period and ensure yet another 9-9-9 ruler, the ruler only gets half the percent from government.
For example. Person A runs and wins 50% of the votes. After forming his government his vote is up to 80% he would get (50+(80-50)*.5)% or 75% of 27 to spend on points, which is 20. He can choose how to spend them. He could make a 9-8-3 ruler, or a 6-8-6 or a 7-7-6, doesn't matter.
When they form the government they will also have to pick three people to be the great men of the court. if it was their first time being picked, those people would have to pick an adviser type. If they've already served on the court they have to use what they were last time. The ruler can pick any three people, but they must agree to it. This might also be helpful in forming coalitions.
To ensure some division, I've added some religious differences and cultural differences and hopefully people will split along those lines or more political lines. Either way I don't think it is an issue that people will always unite.