Somewhat of a tangent but it would be nice if there were more applications for those skills like business/science/religion. Just off the top of my head, playing the stock market could be added as a legal method of raising money that would use the business skill (and could potentially end up COSTING you money if the person doing it has low skill). If you take it to mean more general management efficiency skill, it could be applied to a lot of other things as well; anything involving making sales or regular upkeep, etc.
Science... maybe you could have some craftable chemical concoctions that could be used in combat? That could open up some interesting possibilities as well - making some kind of knockout chemical allowing you to grab hostiles as hostages with having to wound them first (and thus not risk having them bleed out on you before you get them back to your safe house). You could even have it come in gas or syringe form - gas would hit everyone in a tile but be blocked by undamaged gas masks (which would be standard equip for guys like SWAT teams). If you wanted to go really nuts you could make stuff like mustard gas. Is violating the Geneva convention Liberal? I'm not sure, but it would be funny to be charged with war crimes.
Religion I'm not really sure. Maybe it could have some kind of loyalty influence? Leaders with religious skill would be less likely to be betrayed by followers in jail (fanatics are pretty loyal, after all).