You would probably love Victoria 2. It's a computer game, not a board game, but a large part of the gameplay involves balancing various factions in your parliament and your population. You can easily pick a pet party and try to help them succeed.
Playing that game as the Ottoman Empire was hugely enlightening. Surrounded on all sides by potential enemies, a barely coherent population, not enough resources, and a million miles from industrialization. Whee!
