The point is that the celebration of his feast day is pius and bears no relationship to the Feast of Saturnalia, other than that God provided Christians an opportunity to celebrate Jesus' birth without their celebrations being conspicuous.
>> I honestly appreciate all the effort, but there is no factual link between His birthday and Hanukkah(or the feast of the dedication).<<
Other than that they are on the same day of the same month, and celebrate the same thing?
"Other than that they are on the same day of the same month, and celebrate the same thing?"
Nice try, but that is still not factual. It's your opinion, that's all.