Will Democrats shutdown the government over $2 billion cut in spending?

This seems like a pretty good strategy. How will Democrats explain that they are going to shutdown the government over cutting a trivial $2 billion?

House Republicans plan to pass a two-week stopgap spending bill next week that would keep the government running past March 4 at reduced levels, GOP aides told POLITICO Wednesday.
The measure comes on the heels of last week’s seven-month appropriation bill that would have slashed $61 billion from federal accounts but has no chance of passage in the Senate.
Republican aides say the cuts in the two-week spending bill would be proportional — or pro-rated — to reflect the levels in the first measure. That means cutting about $4 billion over two weeks. The plan is tentative and the contours of the measure are still being crafted.
It’s House Republicans’ opening bid in a war of attrition that pits their promise to slash spending against Senate Democrats’ refusal to allow any cuts on a short-term bill. If no one backs down by March 4, the government will shut down. House Republicans want to leave the hot potato in Senate Majority Leader Harry Reid’s hands.
Reid’s office released a statement Wednesday afternoon in response to the proposal, calling it another non-starter.
“The Republicans’ so-called compromise is nothing more than the same extreme package the House already handed the Senate, just with a different bow,” Reid spokesman Jon Summers said. “This isn’t a compromise, it’s a hardening of their original position.” . . .