On March 1, the House should pass a bill restoring the most agregious cuts to the Military. The bill should be hand carried to the Senate. It is then on the Senate if bad things happen.
The House can pick what will be restored in other agencies as well.
The Senate will never agree to act on it.
The Senate just passed their own version of a Sequestration alternative (the House passed two of their own last year).
Many Democrats were not happy with the Senate compromise, because it contained other spending cuts and they only wanted tax raises ("revenue") to offset Sequester.
If the Republicans refuse to consider the Senate alternative and offer another proposal, the Sequestration will kick in.
Republicans themselves are deeply divided. It looks like the Rand Paulites are winning. A majority of Republicans are now blaming Defense for the very cuts the Republicans agreed to (see Duncan Hunter R-CA going off during the House Armed Services Committee testimony this week).
If the GOP abandons the military, it will take them years to gain that goodwill back among the military, veterans, and many Conservative voters who back the military.