I have lived in quite a few wards in my life. In one particular situation, our Gospel Doctrine teacher brought up the topic of Divine Investiture (the idea that the Son often speaks as if he were the Father, since he represents the Father). The extreme version of this is that the Father never once spoke directly with man until he appeared to Joseph Smith in the First Vision. Our GD teacher believed this firmly, for no other reason than a previous Church President had said it - so he used it to say that a passage we were reading was the Son (Jehovah) speaking, even though it referred to "Mine Only Begotten Son".
Glancing around the class, I could tell that about half of the members attending weren't totally comfortable with that - but not so uncomfortable that they felt like making an issue about it. I raised my hand and said, essentially:
"I know lots of members who believe differently about that particular issue - but I personally don't care. The words are the Father's no matter if he or the Son is saying them, so as long as we recognize that they are the Father's words I'm fine with it."
I could have made an issue or confrontation out of it, and I could have remained silent - like everyone else there who didn't agree totally. Instead, I simply said that it's ok to not see it that exact way - and the conversation moved on.
The interesting thing is that a couple of weeks later, there was a similar situation with something that was taught, and one of the very respected sisters in that ward spoke up and said, "I just can't see it that way. When I read it, I get (a different message)." After the class, before Priesthood meeting, another brother who was in a presidency in the ward leaned toward me and said, "Whenever we get into those types of deep discussions (controversial ones is what he meant), my brain starts to hurt - so I just tune it out until they're done. I figure I'll understand it someday, but I just don't care right now." Both of those members are seen by everyone as faithful, dedicated members (because they are) - and actually as orthodox, conservative members (because they just don't care about correcting everything with which they disagree).
As I said, I think this happens WAY more often than most members think.