My concern is that we will end up in a state of perpetual government "shutdown". The republicans, instead of reopening the entire government, will simply choose agencies to fund in order to keep the pain felt by the American people just low enough so they don't get fired (ala office space). Once that happens, Congress has basically iced itself out. Oversight from unfriendly government agencies? No worries, they're sh…
This means that there is no longer the ability to negotiate a budget in good faith. The Dems can fight for more health care funding (or whatever) and the compromise can happen, and then the president can just say "sike!" And not do it.
And, political leanings aside, this president has shown that he will indeed break any agreement he decides to, so there doesn't seem to be any reason to negotiate. So I'm thinking this shutdown lasts a Long time.