In the case of government employees we really don't have another choice (well I suppose you could leave the country, or leave the state if its state government, but most people won't unless things get REALLY bad).
With private service employees we have less ability to take advantage of lower costs elsewhere because services aren't as easily tradeable, still you have things like tech support centers in India, and even "medical tourism". I guess with lawyers you would have a problem because their are legal restrictions on who can provide legal advice.