I'm not fond of changing names just for the sake of changing names. Christmas has already become a secular celebration in all but name in all western countries, so why can't we just keep calling it Christmas?
Believe it or not, even in Western countries many do not celebrate Christmas (I do not, nor do a majority of my relatives and many other people I know). Others celebrate it in January. People do not do it from spite: but it would seem to me extremely unnatural to treat it as anything but a quiet day in the office (though, I should say, I love flying red eye on Christmas eve - cheap). That it seems to you that it is a neutral secular holiday, does not mean it os so for others.