In addition, some theorize that the Republicans can use the chaos and votes supporting the ACA to go after vulnerable Democratic senators.
And maybe I'm getting too cynical, but the extreme Republican line for years has been that government is the problem, not the solution. So I don't think the members chasing the base have the same interest in a functioning state that the rest of them do.
This is exactly the case they are in. If you look at it from the typical tea-party perspective, they were in a win-win situation. Either get concessions on AFA, or shut down the government, which in their view is the root of the problem to begin with. I have to think this strategy will end up backfiring on them eventually, especially when you consider the long term trends in political leanings in the country, but for now, they got exactly what they wanted.
I'm reminded of the dog that finally caught a car and then didn't know what to do with it.
And maybe I'm getting too cynical, but the extreme Republican line for years has been that government is the problem, not the solution. So I don't think the members chasing the base have the same interest in a functioning state that the rest of them do.