In the Wake of the Vote of the British Parliament Against Attacking Syria

I’m wondering: Does Great Britain backing out of the idea of attacking Syria, because the British Parliament today voted not to attack and Prime Minister Cameron says he will abide by that, make stronger or weaker James Fallows’ argument, in his article in the Atlantic , “Here’s a Wild Idea About Syria: Make the Case to Congress,” that what Obama should do is have Congress vote for or against an American attack on the Assad regime as punishment for its use of chemical weapons against its citizens?