Sean: I've heard that theory (no war or total obliteration) many times before, and I'm very reluctant to believe it. People have been making that prediction about "the next war" since WWI, and we've had plenty of wars since then. And we've progressed technologically. All this does is change "the next war" for "eventually." Really, I just don't see any evidence for it besides back-of-the-napkin figures and broad estimations.
Later is Now!
The main advantage of a LEO space station is its positioning--right on the brink of space, it could send light drones to "tow" asteroids in for mining. Since it will have earth-like gravity to be sustainable, manufacturing can take place in 1g or micro g environments, which allow a lot of manufacturing possibilities. In war, it's got the high position.
The main disadvantages in war would be its very vulnerable structure. There will be a point when the entire structure fails.
Against the earth, some of its best weapons would be asteroids, coated with something heat resistant. With little modification, you could use asteroids as a delivery system for material and manpower. (The engineering problems are kinda complex here--the best I've been able to come up with is a hang-glider type system. That way, you can land where the asteroids hit with some precision. The problem? You're vulnerable to AA fire.) Since the station would be a manufacturing center, the people here would have plenty of manufacturing experience, which means that you could drop vehicles as parts, and, if modular enough, each part could be used on its own.
Note that these could be launched from the space station long before they become active, save for the troops. Those would probably have a timer on the scale of about a week before they'd have to be dropped.
The fact that they'd be dropping vehicles as parts means that they'd have no heavy armor. If the earth had these, they'd be in a good position to take back cities (which is where a good commander would position these "para" troops.)
The fun thing to design for me was the vehicles. I tried to make them modular enough so that everything had multiple functions, but I could only really do that with the jeep. The turret was easy enough. The body should be able to double as a bunker, if covered with rubble, the engine could double as a winch, and the seats as armor plating or riot shields. I tried to come up with a spider tank in much the same way, but I ended up just saying that it could be dropped whole.
As before, the earth could simply launch missiles. Which is why the space station would have to strike first, possibly while moving the space station into a higher, different orbit.