As a recent study by the Economic Policy Institute showed, these job cuts ripple through the economy, also harming private sector job creation. In fact, EPI estimates that public sector job cuts have likely cost the private sector 750,000 jobs:

The economic “multiplier” of state and local spending (not including transfer payments) is large – around 1.24. This means that for every dollar cut in salary and supplies of public-sector workers, another $0.24 is lost in purchasing power throughout the rest of the economy. Teachers and firefighters stop going to restaurants and buying cars if they’re laid off, which reduces demand for waitstaff and autoworkers and so on. Add these two influences together (supplier jobs and jobs supported by this multiplier impact) and roughly 0.67 private sector jobs are lost for every public sector job cut. This means that the public sector being down 1.1 million jobs has likely cost the private sector 751,000 jobs.