According to the Target Diversity Calendar (with events, holidays, and celebrations), Target celebrates Pride Month during June and Independence Day during July. When December rolls around on their calendar, Target is silent in respect to Christmas or even the holidays in general. Only Human Rights Day (December 10) is mentioned for December.
It's ironic that this whole controversy was probably started by a small number of geeks in a back room somewhere. For years people complained about the commercialization of Christmas. Maybe with less advertising, more people will look inward to their own homes and hearts for the joy of Christmas. That too would be ironic that the people trying to subdue the holiday would make it more meaningful to those of us that celebrate it.