Christans accept the Maccabees story and respect Hannukka, but feel that the rememberance of the birth of Christ is more significant.
"Christmas and Hanukkah are about two very different, yet very Holy and Serious observances..."
http://www.aish.com/chanukahbasics/chanukahbasicsdefault/The_Triumph_of_Chanukah.asp
...Chanukah used to be regarded as a minor half-holiday, cheerful but low-key.
It has become something bigger and brighter in response to Christmas, which transforms each December into a brilliant winter festival of parties, decorations, and music. Attracted by the joy of the season, not wanting their children to feel left out of all the merriment and gift-giving, American Jews in the 20th century began to make much more of Chanukah than their grandparents ever had.
Today Chanukah is well established as part of the annual "holiday season," complete with parties, decorations, and music of its own. Its enhanced status is a tribute both to the assimilating tug of America's majority culture and to the remarkable openness of that culture to Jewish customs and belief...