Why Not Stop Paying Congress?

Felix Salmon asks:

[W]e’ve already reached the debt ceiling. At this point, Geithner can point at just about anything and say that it’s an expenditure we can’t afford right now, and we’ll have to put it off until the debt ceiling is raised. Why doesn’t he just do that with all Congressional salaries? If the House Republicans had to live without pay between now and when the debt ceiling is raised, that would surely concentrate their minds a bit. And it’s got to be a better idea than the current strategy, which seems to involve Geithner all but begging the Republicans to call his bluff and wait until after August 2 to do anything.