There is a lot of misunderstanding in your short statement. There are two meanings of government, one of which is what we would call an administration. The government as far as civil servants and such has not changed, and very much exists. Even the government as far as an administration is still there in the form of a caretaker government. The French and Germans will simply have an election, and elect new legislatures.
We are going through the same process, with little more violence, but it certainly is not a war.