It depends. Religious displays are fine with me, in a private business. If it’s a religion different than mine, I also like to take the opportunity to ask questions about the display and learn more.
I’m not as interested personally when the religious displays get political, although I realize that is all a gray area, the child/choice slogan seems to fall into this category for me. At the same time, I like having the information just in case it informs my consumer choice. I am the kind of dorky person who really does follow the instructions to “mention where you saw this ad” at local businesses – I like to say “hey, I saw your ad in the program of the high school musical” to hopefully encourage the business owner to continue to support the high school musical, and so I will also say this if I see ads appear in my church bulletin for the same reason. Oddly enough, it’s not so much about my church, I would say the same thing if I saw an ad at another church or temple where I was a visitor, because I like the whole idea of local businesses being involved in the larger community.
Okay, that’s going pretty far from the OP, but I think my point was that if the business announced an affinity for a group or religious organization that I found fundamentally objectionable, it would probably influence me to take my business elsewhere. I can’t think of any instance where this has actually happened, but I suppose it could.