The shutdown has yet to affect Curiosity operations except for the fact that those of us who are not government employees are taking operational shifts for those who are. However, the shutdown affects a lot of other things.
I have been planning for a research trip to Antarctica, and that is likely cancelled (but no one has been able to confirm this since everyone who could is on furlough). Please see my blog entry for Dawn In Antarctica for my state of mind the last 2 weeks: http://dawninantarctica.blogspot.com/2013/10/shutdown.html