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Boost-phase interceptors would be big expensive weapons systemsNot very big actually, not if the interceptors are placed in LEO. They're a hell of a lot smaller and cheaper than the missiles they're meant to intercept. The kill vehicles themselves are only a few kilograms, very small and light weight. For such light-weight interceptors positioned in LEO, you don't need much booster to get the job done. You can get away with a booster much smaller than an SM-3.
> Because they have only a few minutes to hit before the target deploys the payload, they would have to expend lots of delta-v to guarantee intercept
The more you have, the less delta-v they need. That's why Brilliant Pebbles proposed thousands if not tens of thousands of them. Launching such a huge number of interceptors would be possible with Falcon 9, but Starship would be much better at it.
> Maybe China decides to take Taiwan
Maybe they would, but they would have to be insane to start a symmetric war with America itself. And that's the whole point.
> Deploying such large-scale missile defense systems would be obvious to everyone.
If you've been paying attention, you'll have noticed that China and Russia haven't been very secret about their interest in countering Starlink. It's not because they're afraid the US might give uncensorable internet to Chinese and Russian people, as I've seen some on HN speculate. They obviously perceive the strategic threat already. Besides starting the war first, there's not a whole lot they can do about it. If they start the war first, start it now, they'll probably kill a lot more Americans than if they wait and do it later. But that doesn't matter because they'd still all die, so they aren't going to do it. Neither China nor Russia has a BMD system that could prevent America from killing them all.