[Amezarak]

In American English, government and state (in the sense you mean it) are synonyms.

Other countries seem to think of the government as "the current ruling party coalition members holding ministerial positions", so it would be inappropriate to refer to say, the driver's license bureau as "the government", but in the US, you'd never limit the sense of government in that way - you'd say something like "the administration" if you wanted to refer to the federal head of state and department heads, but the current federal executive, the US Congress, your local driver's license bureau, your tax assessor, your state environmental agency are all "the government" in the US.