Should Atheists Celebrate Christmas?

Should atheists celebrate Christmas, or by doing so, are we somehow selling out our beliefs? Has Christmas become so secular that it is possible to participate without even acknowledging the religious significance it still holds for some? How about Winter Solstice? Does it provide a viable alternative for atheists tired of all the Jesus stuff but still interested in celebrating? Below you will find an interesting video discussion of these questions by Tom Flynn (Executive Director of the Council for Secular Humanism) and Ron Lindsay (President and CEO of the Center for Inquiry).