If the government initiated a complete shutdown then a lot of people would lose jobs. The government funds some of the work forces. The government would not pay for the defense of the country. They would not pay for public transportation. The government would not pay for the legal system. Lastly, the government would not pay for the education of thousands of schools.
This question is misleading because it asks should we RE-invade Libya. Well you can't RE-invade something you havnt invaded before can you. And why should we. What we should do is send in SOCOM, grab those MotherFers behind Benghazi, take them to some little shack in the middle of nowhere and... But other then that lye that $h!T hole fend for itself for once.