Yep, Boehner's strategy may turn out to be brilliant (assuming he isn't really serious about any of these and is simply calling Obama's bluff; it's game over for him if they go for one of them).
Obama wants 1 of 2 things: To meet at a table and have Boehner say, "yes sir, you're right, let's do whatever you want" so they can equally share blame in the collapse OR to go over the cliff and blame it on the Republicans for not doing it his way.
Now, there are too many useful idi0ts in 2012, who believe it's all on the rich. If it's the cliff, your taxes go up. If it's the rich, your prices on stuff go up. You WILL pay more.