The debt ceiling tug of war is unlikely to be satisfactorily resolved. The reason is that Republicans and Democrats have divergent views of the private economy, and that difference will always prevent compromise.
Both parties understand that the private economy is the source of all wealth. Republicans take this position openly; Democrats will never admit it in public. Democrats justify massive government spending by calling it "stimulus," "job creation," or "investment," but they know that all the money government spends comes from the private sector. The government does not create wealth–it can only consume it.