Everyone saying this was a PC cut should go watch the presentations on YouTube. There is new dialogue there in place of the poem (not sure if it is original or taken from something else). The new dialogue talks about people around the world celebrating the birth of the holy savior. It's arguably as religiously tinged if not more blatantly religious than the poem and it ties into the next song, "Joy to the World" much better. Kurt Russell's reading of it did seem a little awkward, but Blair Underwood and the Epcot celebrities did a fine job. The poem also has a line about the 19 centuries since Christ lived, which has become 20 centuries since the poem was written.
If you liked the poem and feel the show is weaker without it then by all means express your disappointment. However, don't automatically assume it is an attack on your beliefs especially when what has replaced the poem as well as the rest of the show remains firmly rooted in religious traditions.