Which type is the most idealistic of all NTs? (To put it in other words, maybe even NF like?)
I wouldn't consider the INTPs and ENTJs I know to be particularly idealistic. Maybe it is the dominant thinking.
That leaves the dominant intuitives - ENTPs and INTJs. I'm somewhat of an idealistic person. Sometimes it's hard to understand what's going on in the heads of those ENTPs. In either case, I'd say one of those two types.
What type is the most intellectually curious?
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"How dreadful!" cried Lord Henry. "I can stand brute force, but brute reason is quite unbearable. There is something unfair about its use. It is hitting below the intellect." ~ Oscar Wilde - The picture of Dorian Gray