Also remember that the edgeworlds in Freelancer are Nothing like the real world. The USA couldn't attack France since it relies upon so many other countries a lot to keep going. The Corsairs only need food, which the Zoner freeports can easily provide and as such, would be a very attractive target for them. Hell, it's the Juggernaughts that are keeping the Zoners safe in their neutrality in the Omicrons.
The Corsairs would openly denounce the Harvesters probably but would privately love them for taking on the Zoners, simply because it weakens them enough for the Corsairs to eventually take over.