No, I don’t see it either, particularly since the bill the House is coalescing behind is one that actually does not shut down the government. It provides funding for those activities, and the only thing it defunds is Obamacare.
Even a lot of Dems might like that, because they could use the fact that it funds the government as an excuse for voting for something that will halt the increasingly unpopular Obamacare.
delaying ObamaCare one year actually helps Democrats, IMO