It's a really good question. Demographics vary widely between different departments so we couldn't just extrapolate from the entire Federal government. We'd have to know the mix. Typically, the low educational (and income) end of the federal government mirrors the US population because you're talking about people who are just happy to be working anywhere. As you climb the scale of education it gets more and more Democratic, at an even faster pace than the US population, because of self-selection: when you hit high level managers, scientists, researchers etc. who can have any job they want, the vast majority who choose government (I'm talking 90-95%) are Democratic because they believe in the mission. Insofar as there are highly intelligent Republicans they gravitate towards business and money and thus away from government.
I would not be surprised if the furloughed workforce really is mostly Democrats. But the districts where furloughed workers are are not necessarily. There are towns like McLean, VA which are whiter than Aryan Nation, Idaho and still have the sniffy country club Republican Judge Smails self-regard, that are probably getting hurt by the shutdown. The populated portions of MD and VA are right f-cked. This isn't endearing them to the GOP.
