Bitcoin has nothing to do with that. printing money steals from the GDP, and the GDP is limited by US citizens. If US citizens stop working then the sum total value in all US dollars drops. None of that requires Bitcoin. You don't need Bitcoin to have leverage over the government.
Discussion
The general population moving away from printable money to sound money defunds the money printer by taking away the purchasing power of the dollars they print and accelerating the demise of the dollar and thereby removing the governments ability to spend beyond their means
The money printer is already limited and the government can be defunded without Bitcoin just by reducing the GDP or by refusing to accept government jobs.