Some nontheistic groups have already moved to make their wants known. On Wednesday (Nov. 7), the American Humanist Association sent all newly elected members of Congress a request "not to join the Congressional Prayer Caucus and to actively work to ensure that the wall of separation between church and state is strengthened and maintained."
MORE: http://www.religionnews.com/politics/election/the-nones-say-2012-election-proves-they-are-a-political-force
See also...
Post-Election Analysis: What Does It All Mean for Humanists?
http://www.americanhumanist.org/HNN/details/2012-11-post-election-analysis-what-does-it-all-mean-for-hum
Will atheists decide the next election?
http://www.examiner.com/article/will-atheists-decide-the-next-election
Weak Reed: Religious Right Operative Fails To Deliver On Grandiose Election Promises
http://www.au.org/blogs/wall-of-separation/weak-reed-religious-right-operative-fails-to-deliver-on-grandiose-election
Liberal Catholics use election results to battle bishops
http://religion.blogs.cnn.com/2012/11/13/liberal-catholics-use-election-results-to-battle-bishops/