Here's a timeline prediction for everyone.
-At first the shutdown will have little effect. Politicians will make statements defending their positions, libertarians will scream "see we told you, the whole public sector was nothing but an expensive illusion - lets close the shop completely"
-Tuesday <-> Friday. The spectacle begins. You will witness federal employees leaving their work places via CNN broadcast. National parks will close their gates. there will be less traffic but no major inconveniences. Both political parties will stand firm. The anxiety won't really kick into high gear as weekend arrives (a time when federal agencies are closed)
-Monday. Political Armageddon begins
There will frustration, panic and anger. People will realize what the shutdown means. Another week without getting paid, without having their documents processed, no nothing.
At this point citizens will wake up from their slumber :
"This is a bad situation. Our restaurant, which is next to a big government building, is completely empty."
"I know Mike, we are getting no action either. The federal agencies are closed and we have no customers. I'm not getting my tax refunds to boot"
"Guys. I'm working in that building and need money to support my family, I can't afford to just do nothing for another week"
As government employees stay home all over the country, people will demand answers from their elected officials. Why are they playing theater instead of governing?
Then it will only take a handful of House republicans to end the situation. How long will it take before they compromise? I'd say less than one day.