WH: Any member of the Republican Party who votes for this bill is voting for a shutdown
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UPDATE: 5:14 p.m. -- The White House weighed in later, similarly condemning the GOP effort:
Today Republicans in the House of Representatives moved to shut down the government. Congress has two jobs to do: pass budgets and pay the bills it has racked up. Republicans in Congress had the opportunity to pass a routine, simple continuing resolution that keeps the government running for a few more weeks. But instead, Republicans decided they would rather make an ideological point by demanding the sabotage of the health care law. Republicans have tried and failed to defund or delay the health care law more than 40 times, and they know this demand is reckless and irresponsible. The President has shown that he is willing to improve the health care law and meet Republicans more than halfway to deal with our fiscal challenges, but he will not do so under threats of a government shutdown that will hurt our economy. Any member of the Republican Party who votes for this bill is voting for a shutdown. It's time for the House to listen to the American people and act, as the Senate has, in a reasonable way to pass a bill that keeps the government running and move on.
http://www.huffingtonpost.com/2013/09/28/government-shutdown-house_n_4008982.html
Below is a Statement from Senate Majority Leader Reid
UPDATE: Majority Leader Reid stood by his pledge to reject any changes in the health care law, releasing a statement later Saturday that called the House action pointless and futile:
Todays vote by House Republicans is pointless. As I have said repeatedly, the Senate will reject any Republican attempt to force changes to the Affordable Care Act through a mandatory government funding bill or the debt ceiling. Furthermore, President Obama has stated that he would veto such measures if they ever reached his desk.
To be absolutely clear, the Senate will reject both the one-year delay of the Affordable Care Act and the repeal of the medical device tax. After weeks of futile political games from Republicans, we are still at square one: Republicans must decide whether to pass the Senates clean CR, or force a Republican government shutdown.
Senate Democrats have shown that we are willing to debate and vote on a wide range of issues, including efforts to improve the Affordable Care Act. We continue to be willing to debate these issues in a calm and rational atmosphere. But the American people will not be extorted by Tea Party anarchists.
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http://www.huffingtonpost.com/2013/09/28/government-shutdown-house_n_4008982.html
p.s. Bolding above for emphasis is mine.