The House should pass the ORIGINAL bill sans exceptions and send it right back to the Senate.
I agree. This is a game of 'chicken'. The House (and 'We The People' by the way) says defund 0bamacare. The Senate says no. If there is no resolution to the deadlock, each house of Congress is equally responsible for the consequences, including shutdown.
This is not a 'Republican' government shutdown. However, I don't expect the current Speaker to be courageous enough.