In the short-medium term? It makes it easier for democratic countries to wage war, just or unjust. No more footage of coffins draped in flags coming off transport planes. No more soldiers coming home with PTSD or concussion-induced dementia. Just a bunch of guys in Langley, sitting in their cubicles, killing people on the other side of the world.
The domestic propaganda goes down much smoother at this point. After all, who wants peace when we can win?
If they could route the link through a constellation of LEO satellites, then the lag would probably be comparable to what you get in a typical multiplayer FPS. Ground to LEO and back is 1ms to 14ms, depending on how high in LEO the satellite is (assuming satellite directly above your head). Space is pretty close to us.
As for how to get that constellation up, well, SpaceX is working on making that pretty cheap.
I'm actually not from the US so hadn't heard of her until now. But I just read about her, and it sounds like she was a pretty awesome lady! And now you've got me curious about the lag...
I'm guessing they could (would?) go most of the way via undersea cable (just as normal folks do), pop out somewhere close and then beam up to some satellite. I'm in Australia, and (I think) Puerto Rico is roughly on the other side of the word (although I did get a D in high school geography, so there's a good chance I'm wrong here). My round-trip ping time averages ~320ms to some random PR ISP (209.91.222.104). I have no idea how much extra latency a last-stage satellite hop would add in, but let's say it triples the latency.
Almost a second in lag. So pretty terrible. I guess they'd need to use characters, er drones, with good AoE attacks...
The domestic propaganda goes down much smoother at this point. After all, who wants peace when we can win?