The only guy you're being is an historically inaccurate guy . .but no. Are you talking about some of the pagan traditions that were adopted by the Church? Those are secular traditions, no Christian worships a tree dude. Context my man. Btw, those didn't originate 'by the Ancient Romans' -- like everything else in Rome, it was adopted from several other groups. From the 4th century AD, all the way up until the high middle ages, pagan traditions were adopted in a secular (I know that's a funny word to use concerning a religion, but you should know what I mean) fashion in order to fit in and bring in local pagans. Literally has nothing to do with the spiritual/religious meaning of the Holiday.
That's...rather sad. o_o
I mean damn, I live in the South and even the hardcore rednecks aren't even that dumb.
Edit: Btw I think the most accurate (although it's a guesstimate that not all academia agrees on duh) is sometime in mid-September.