I must respectfully—and I mean respectfully (since I’m an idiot)—call bullshit. An unmaned platform with a phalanx gun system would kill any effective IPBM: nuclear bombs can’t go off accidently—once the system is shredded, the receiving planet will just have some uranium-cleanup problems to deal with. In other words, an IPBM will be giving free weaponized materials to the enemy.
I think the OP must necessarily presuppose ships with effective movements. Otherwise, it is trivially absurd: imagine trying to come up with a hypothetical that imposed the Midway battle on trireme warships!
Fighters wouldn’t have to change orbits any more than the Red Baron had to change orbits. He was at least, if not more, constrained by gravity than a space fighter; the difference is that he had air on his side. I have no idea whether the drag created by the atmosphere would be greater the fuel needed to change direction on a space-fighter; however, it is not obviously true that one fact is true over another. To go in a straight line, the Red Baron needed massive amounts of energy; however, a space fighter can literally coast along. There is no new physics to be dealt with: chaning direction cost the Red Baron a lot of energy, but he could turn some of his forward momentum into the force for changing direction; however, a space fighter wouldn’t need any energy to go straight, and wouldn’t need extra energy to climb since they would be, on net, at gravitational equilibrium (otherwise they would be falling instead of being in orbit).
Faced with, say, a phalanx-type gun, the fighter may get creamed, or it may avoid; what is important is that the phalanx gun generates a shitload of heat, which means that it will be very easy to spot in space. Send a small drone: it gets capped by a bunch of 20mm rounds, but the mass of it keeps toward the gun at lethal speeds and then…then some simple Kamakazi drones should destroy the ship’s guns.
After that, it’s a land war, as shuttles of marines latch on to each battle ship, cut into the hulls, and begin fighting for the $200 trillion machines.
So seriously, either the OP needs a terribly simple answer—shoot a ball bearing at the enemy and he’s dead—or the OP needs a sophisticated level of technology to entertain the question.
Whatever it is, we cannot suppose the simplistic space technology of today as a model for interplanetary war. The Space Shuttle is not a weaponized platform; it cannot serve as model, nor can any simplistic vision of the future.