Then...just put it down on your busy social calender between any and all of the other "holiday season" parties you're invited to around that time of December even thought you dont celebrate either Christmas or Hannukka either!
Happy Holidays!
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December 23rd?
To change the subject slightly: that's interesting that on top of the fact there is a supposed date for the birth Mohammed (that you are either supposed to observe,OR are supposed to NOT observe because its heresy ), but that someone in ancient times somehow came to the conclusion that Mohammed just happen to have been born the same week as Christ was supposed to have been born, and that they both were born around the same week that all of the Pagan Sun gods of the Mediterranean World were also born (around the time of the Winter Solstice). Lol! Interesting coincidence.
Muhammad's birthday is based on the lunar calendar... in the solar calendar, his birthday is 11 days earlier every year... so no, Muhammad was not born at the same time as Christ...