It’s probably less about fighting in space, and more about rapid transport, and cheaper (and therefore more) sattelites for a number of purposes. It’s hard to imagine that intelligence and military agencies aren’t thrilled with the idea of being able to lift more mass for less money. That’s true for everyone other than defense and espionage though; cheaper launches raise all boats.

Fortunately with our level of technological advancement, actually fighting in space is just dumb. Fighting from space could be useful, but would break treaty obligations with other spacefaring, nuclear powers.