Speaking as someone who writes campaign slogans: no.
On the shutdown: The house can and will pass a clean CR (clean as in it won't defund the ACA) with Democratic votes. This will either happen when Boehner abandons the Hastert rule or through a process such as moderate R's abandoning their party to force a vote through a discharge petition (which has already begun circulating).
On the debt limit: Same as the above, except with more urgency.
EDIT: without writing a dissertation on the current fractures in the Republican Party, the Ted Cruz wing is currently very, very hated within the party, and everyone is looking for a way out.
Yes. The signers will be Republicans whose districts also went for Obama in 2012. Pete King in NY-2 would be an example.
Boehner has already defied the Hastert rule to pass the Violence Against Women Act and to pass emergency aid for hurricane Sandy victims. He will do it again.
On the shutdown: The house can and will pass a clean CR (clean as in it won't defund the ACA) with Democratic votes. This will either happen when Boehner abandons the Hastert rule or through a process such as moderate R's abandoning their party to force a vote through a discharge petition (which has already begun circulating).
On the debt limit: Same as the above, except with more urgency.
EDIT: without writing a dissertation on the current fractures in the Republican Party, the Ted Cruz wing is currently very, very hated within the party, and everyone is looking for a way out.