Yeah, don't let common misconceptions lead you to think that Feeling is just about emotion and doesn't evaluate anything else. Fi is excellent for critical thinking, and Ne aids in grasping theory and concepts with ease.
Yes. I can spot emotional/visceral inconsistency from half a mile away. My first line of attack in debate is usually "why do you feel this way about this and yet feel this other way about that?" I can usually offer several possible answers to the question and systematically rule others out, too, and people usually resort to changing the subject or appealing to emotion. It makes reading newpapers quite painful. For every story I can think of others in which they took a different line for no fair reason - just because their readers will interpret negatively the actions of people different from them (or presented as such), and positively the actions of people similar enough or the most similar to them.
Here's a tip: if you're going to go mad and kill yourself and your child, you'd better have a reason that most people can begin to relate to, like ongoing harrassment and failure of the authorities to help. Then you'll be virtually canonised by the British press. It had better not have been a more organic mental illness, which most people haven't experienced, or you'll be an anathema. Suffering is only an excuse if it's caused by something people can conceive of happening to them. I don't read tabloids any more. They start to drive me apeshit.
T-led analysis is less likely to home in on underlying biases behind the assumed premises in that way because it detaches from emotion first, while Fi focuses on it first. But as usual, any type will do both if they're well-rounded, some just go down particular routes more automatically.
Anyway, I don't know my own IQ, have only ever been administered an abbreviated, specified version for diagnostic purposes, but as someone has said, the statistics suggest
no type is unrepresented in the high IQ range. Even the statistical differences there are could be due to certain types tending to enjoy the test more, take it more seriously, doubt their ability to do it more, be more distracted by the presence of the admininstrator, all sorts of reasons other than their true cognitive potential.