Cultures evolve and adopt new traditions and customs all the time. It's not even exclusive with culture, but things like linguistics, political systems, etc...
Do I personally think there are a plethora of pagan-rooted holidays and traditions objectively visible in our modern day Christmas? ABSOLUTELY! To deny the similarities would require one to be in complete and utter denial.
We should remember the Savior, His birth, His sacrifice, His resurrection etc... ALL year round... even on one of the most (if not the most) pagan day of them all (December 25th). Truthfully, I don't understand the importance or WHY we continue to EMPHASIZE it on December 25th, just as I wouldn't want to pick "National Honor Muslims Day" on September 11th (a make believe holiday to prove a point).
Having said all that: I propose we CONTINUE to remember the Savior Jesus Christ ALL-YEAR ROUND, while finally admitting what the modern-day Christmas is really all about. If it was TRULY about the Savior Jesus Christ, we wouldn't need Santa Claus, flying reindeer, the commercializing (capitalists dream), etc.. I propose we rebuke the pagan origins and symbolism, but continue to put lights on our houses, Santa Claus on our yards, and reeindeer on our roofs... not to honor "the old ways", but because it's fun to make believe once a year... it's fun to have an excuse to take time off work... it's fun sit around with your family and eat until you have to undo your belt... it's fun to watch Christmas movies like A Christmas Carol (George C. Scott version of course) or A Christmas Story.
Proposal List:
1.) Admit our Christmas traditions (that aren't centered on Jesus Christ but of Santa Claus, trees, etc...) have Pagan roots, but remind them that is NOT why we Christians currently do it any longer.
2.) Admit that modern-day Christmas has nothing to do with the birth of our Savior Jesus Christ, but it's a time of fun and togetherness with friends and family, and it's a time when the commercial industries make their revenue.
3.) Acknowledge that Christmas doesn't NEED to be about Jesus Christ as we are SUPPOSE to be remembering Him THROUGHOUT the year and not just on December 25th.
4.) Preferential but not mandatory: Lets choose a different day? I couldn't think of a bigger slap in the face to remember the birth of our Savior than at the supposed birth of a sun god.