I think the limits of government contracts are why they've diversified into Starlink. Even without political aspects (which Musk may not have planned correctly for), the global mobile broadband market is just bigger than the pot of money governments want to spend on spying and weather forecasts.
What may well mess him up that side is that even if he gets a monopoly in the USA satellite broadband industry, China has no reason to sit back and just allow US dominance over their geopolitical zones of influence, and will fund their own. Even aside from Kessler cascade risks (I have absolutely no idea how far away that really is), the competition risk is real.