President Obama should have and still should take a page out of TV President Josiah Bartlet's book. In season 5, the show The West Wing did a take on the 1995 government shutdown. In that episode President Bartlet was trying to negotiate an end to the government shutdown. The Republicans attempted to embarrass President Bartlet by making him wait in the halls of the capitol. After waiting for a period of time one of President Bartlet's aides told him to leave, which is what President Bartlet did. President Bartlet's leaving made the Republicans' tactic backfire on them. I think President Obama should do something similar in terms of his meeting with the Republican leadership.
President Obama should have and still should tell the Republican leadership either you meet with me on November 18 or you do not meet with me at all. President Obama should then say I am the President of the United States of America and you meet with me on my schedule not yours. If you are having problems dealing with your conference or with getting your conference together deal with it at another time.
I realize that this could be said to pose a threat to the President Obama in that it may anger American citizens. However, I think Americans will not be angry with President Obama. I think people will feel President Obama is well within his rights. He did give them two weeks notice. In addition, the reason given for the Republican leadership not being able to attend the meeting is not a significant reason.
http://en.wikipedia.org/wiki/Shutdown_(The_West_Wing)