Many Republican House members will support some tax increase, LaTourette said, if accompanied by more serious spending cuts. He thinks many Democrats could be persuaded to bless that type of deal, too.
"The way these things were always done in the past," LaTourette said, "is you get 120 from one side and 120 from the other side."
In other words, the way forward requires Speaker Boehner to realize he is the leader of the entire House, not just the Republican members.
Right now, if LaTourette is correct, some 50 Republicans, barely more than 10 percent of the House, are blocking what a majority of members would likely approve. That veto by a tiny minority is not the way a representative democracy is supposed to work.
Suburban Philadelphia members of Congress could play a key role in breaking the impasse. Coming from moderate, swing districts, they are less doctrinaire than their tea-party compatriots.
Reps. Michael Fiztpatrick (R., Pa.) and Frank LoBiondo (R., N.J.), for example, recently broke party ranks on a key fiscal-cliff proposal. They voted against a move to cancel the looming defense cuts by doubling the cuts in social programs. (That measure passed the House but will go nowhere in the Senate.)
It may be easier for Boehner to follow LaTourette's advice after Jan. 3. That's when the new Congress convenes and Boehner faces reelection as speaker. Once reelected, he would have a stronger hand for making a deal across party lines - something a large majority of the public supports. Some tea-party House members would be gone, having been defeated by more moderate candidates.
At that point, we would be a few days past the "cliff," but a quickly passed package of tax changes and spending cuts could be made retroactive.
Any deal would still require Senate approval. And Senate Republicans could then become the point of obstruction, even though they are in the minority. The Senate has arcane procedural rules that make it difficult for a simple majority to take timely action.
That means a few moderate Republican senators may have to dare to depart from their party's dictates. Doing so carries some political risk, but it's the kind of brave leadership the country needs to avoid economic calamity.