I don't think it is meant to be divisive. It's an inspirational song to them, like Amazing Grace is to you or me, or for me, I personally like.... America, The Beautiful, more than the National anthem.
I think I wouldn't let it bother you so much....
It wasn't Black players insisting this song be played....
The NFL organization had some sort of superficial guilt for an organized behind the scenes black balling of players for kneeling during the National Anthem, and insensitivity to their black players concerns.
A couple of years ago, the NFL decided that the way to be more "sensitive" to their black players, was to play this inspirational song, now labeled the Black National anthem on Thursday night and Sunday night games....

as their measure of being more sensitive to the black man's causes....
Playing a song, two nights a week, as a way of being more sensitive to recognizing the black player's concerns with unarmed blacks being needlessly killed by cops just sheds light on how stupid the NFL is... imo.
Neither white, black, or yellow think this NFL, two night a week song does anything to address their issues and was just another fake try at being concerned with black player's concerns, by the NFL owners....