Anti-war demonstrations are a form of militant lobbying. Even radical direct action and civil disobedience aim to convince power-holders to do something different. This faith in government is misplaced.
No one freely chooses to work all their life to produce capital to make others rich. The worker must be robbed of the freedom to say no, to leave, or to change the system. To maintain this social arrangement everyone, including the worker, must do their part.