Should we take "Christ" out Christmas?

[DaRev]

Mr Khan said:
The secular Christmas has given us a good deal of moral values largely detached from the original story. The Christ-less Christmas of, say, "How the Grinch Stole Christmas" or the largely Christ-absent "Christmas Carol" impart values applicable and relevant to all peoples of all beliefs.

I don't see Christmas as politically incorrect, largely because its become a bigger phenomenon than a religious holiday.

I undertsand, however, isn't it true that Christianity in its truest form first had those same principles, later found in secular christianity and culture, already at its core? In fact, wouldn't it be true to say that secular christianity/culture borrowed this principles from true Christianity?

In the end, can you get any bigger than the true meaning of Christmas (i.e found in the bible)?