No, all essential people will still be working. meaning security, military, etc. However, the military will probably be going with no pay or half pay for a month. Basically, one of the few ways it really effects us is that any thing that is not essential to the country like park rangers, National park personnel will not be working.
"The last time the federal government went dark was for five days in November 1995 and another 21 days, ending in January 1996, during the Clinton administration.
As a result, the government closed 368 National Park Service sites, along with national museums and monuments, according to a Congressional Research Service report.
In addition, 200,000 passport applications went unprocessed, and toxic waste cleanup work at 609 sites stopped, according to the same report. The National Institutes of Health stopped accepting new clinical research patients, and services for veterans, including health care, were curtailed".
http://money.cnn.com/2011/02/21/news/economy/government_shutdown/index.htm