That's right! If the Brothers Maccabees had not won the battle with the Syrian Greeks who vastly outnumbered the Jews there would be no Jews. The Greeks sought to annihilate the Jews from the face of the Earth - so, had the Greeks won this battle the Jewish nation would have ceased to exist and thus, the prophecies of the Messiah coming from the City of David (Bethlehem) would have become null - think about it, if their were no more Jews - to whom would the Messiah have come? Certainly we could make all sorts of speculation over how God would have found a way - but the fact remains THE WAY which God DID FIND was through the Maccabees revolt from 167 BC to 165 BC.
Again, had the Maccabees failed, there would be no Jewish nation and the Festival of Lights would not have started - thus no Hanukkah would have resulted in no Christmas!
By the way - Hanukkah started on December 22nd this year and ends on December 30th. It is different every year on our Gregorian calendar because it is based on the Hebrew lunar calendar and begins on the 25th of Kislev every year on their calendar. As of this posting we are on the 5th Day of Hanukkah - so - HAPPY HANUKKAH!