I've been bringing mine to services since I got it, and my iPod Touch before that. NASB version on both. Never caused a moment of trouble, probably because nobody besides my family sitting beside me could possibly know I am using it unless I'm holding it above pew level, which I obviously wouldn't. I look up passages faster than anyone else, based on the sound of pages flipping several seconds after I'm already there. My husband also gets the benefit, since I can make the text large enough for both of us to read. Also, highlighting and making notes is fast and easy, which I would never have done in a "hard copy" Bible.
Our congregation is very small, about 75 in attendance on average, and very conservative. I never had a doubt about bringing my iPad and can't imagine anyone experiencing hesitation. I mean, it's my Bible, it fits easily in my purse, I'm not playing games, there is no wifi, the light doesn't disturb anyone because we don't have services in the dark (??)....just can't see a problem with it at all. Just my opinion!