No entity should have a right to dictate whether your private company does business with someone or not. The military can pound sand if they don't like your contract terms. That is if you believe in democracy and capitalism. If you don't, then it's not a problem to you.
You’re still absolutely free to do business with Anthropic.
Our military is simply choosing not to do business with them, or anyone that depends on them.
If you believed in democracy, you wouldn’t be supporting the EA-infected corporation that tried to make our democratic institutions subordinate to their corporate decision making.
Any private entity has that right though.
I, as a person, can decide I won't do business with a company that uses Anthropic models for whatever reason. I can even decide I won't do business with a company that relies on suppliers that use Anthropic.
This right applies to private companies too. Like Walmart could set contract terms that their suppliers aren't allowed to use AWS. The suppliers are free to accept those terms or not.