Regarding that list:
1. No. That would be incredibly annoying.
2. " "
3. Maybe, but there should also be some detriment to keeping the bodies around. Maybe it would affect the morale of liberals stationed there.
4. Indifferent.
5. Could be interesting, and you could potentially make an issue out of it, but it could also wind up being a useless dumb-luck test if done poorly.
6. I agree. It doesn't have to be overpowered. Strength and agility, in particular, should go up slowly just by using theoretically related skills - swinging a sword or shooting a heavy gun would boost strength, successfully dodging should boost agility a little as well as specifically dodge. There could also be a gym or something where you could go, similar to the university or proposed shooting range. But there should be a proportional maximum on skill increases. There should also be a way to lose base skills like those, similarly with a proportional minimum.
7. By that logic you would also have to add that heterosexual romantic endeavors, and add the whole child-raising dimension, which would just be too complicated and doesn't really fit with the game.
8. Would be interesting, particularly considering what you could do with the animals, like train your own happy well-treated liberal guard dogs to rival the conservative ones.
9. No. But you should be able to steal a tank from the army base and ride out with it. I suggested that before.