Until you get into specifics (cut SS, cut Medicare, etc?), when you'll find majorities for cutting nothing beyond foreign aid, which is ultimately a negligible portion of expenditures.
That’s why the GOP should cast it as ‘balanced’ cuts, drawing a line in the sand that they be $XB, for this year and projected, say that X% must come from discretionary, X% from defense, and X% from entitlement reform. They should also lay out their specifics, but declare themselves open to negotiations with Obama and the Dems as to the specifics within those broader parameters.