I agree with most of what you're saying except for the contention that the dichotomy is false. It's a good wedge issue precisely because it's a true dichotomy. Even when attempting to dismiss the debate as fabricated and pointless, you end up taking a side on accident, flatly stating that there's no War on Christmas and that it doesn't really matter whether you say Merry Christmas to others. On the other side of the wedge, people believe that Christmas is quite literally the second most important day in the world, and fear that we might put our immortal souls at risk if we don't properly commemorate it.

Everybody likes to think their religion is more important than everybody else's, I get it. But there are a lot of holidays around mid-winter, and I wouldn't try to guess which ones another person might celebrate. People maybe should worry about their own immortal souls rather than mine, if that is their concern.

I don't say Happy Holidays in a negative way, and I've always been happy to hear a sincere Merry Christmas. The idea of "war" has no business being anywhere near that day. Choose to be the peace on Earth that we all want and need.

Merry Christmas to you.