I read maybe the first two pages of the thread. Sorry, don't have time for the rest. Here are my direct answers to the OP's questions.
What do NTs think of God?
He is absolutely amazing, perfect, and unfailing in his love, grace, and mercy.
How do they relate to Him ?
I can't relate God because He is perfect and I am not. I can and do, however, love Him to the best of my ability more and more everyday.
Three Christian-culture NTs I know admit either indifference or little understanding of what they call "religion."
When I was younger, I had a really tough time grasping the concept. I accepted Christ, but I didn't know Him. It wasn't until I actually entered a relationship with Him a year or two ago that I understood. Religion is ridiculous and corrupt. It's all about the relationship.
Is it possible for an NT to be interested in God ?
Yes, I'm not only interested, I'm completely in love with Him.