I'll try and tackle this, but I'll probably suck at it (LOL!) Bear with me here, though!
Was Jesus intolerant?
Yes, Jesus was intolerant of many things, especially chronic, intentional sin. Even his admonition to the woman caught in adultery to "go and sin no more" hinges on the fact that she HAD sinned, and that he was identifying it as such. What she received, in effect, was a pardon, not an acquittal.
Are acceptance and approval the same thing?
I would have answered this differently ten years ago, but as my children grow older and my oldest begins making decisions on her own, I have to say most definitely NOT. I will always accept my children because I love them dearly. I never want them to lose sight of the fact they have a home to return to, regardless of where they are in life. But I will not always approve of their actions.
Does loving someone mean looking past their sin?
No, it means loving them DESPITE their sin.
Is it possible to truly separate a person’s actions from their character?
Their actions define their character. I don't believe it's possible to separate the two. But I do believe it's possible to love them despite it all.
If Christ hung out with the “undesirables”, does that mean I should too?
Not necessarily. Christ had His ministry, you have yours. But you shouldn't judge someone else who DOES hang out with the "undesirables" based simply on that fact.
Can two people with opposing convictions maintain a healthy relationship?
I believe so, yes. It's certainly difficult, but it can be done.
Does growing up as a Christian mean truth gets blurry?
That one's too big for me to even pretend to tackle
Can I quiet the noise of the church long enough to hear the Voice of God?
I've struggled with this one, honestly. I'm finally reconciling with the church (specifically, the Baptist church) after a lot of very real, very deep pain, associated with the church. I think this is why it is so essential to spend personal time in study and meditation away from the distractions of the church.
Are there really any right answers?
Yes, there are. But they get muddied in the shades of grey so much that they're hard to see. But they ARE there, although some of them may be different for you than they are for me.
Excellent questions, thanks very much for putting them out and allowing us to at least attempt to answer them in our own feeble ways.