Should intelligence be rewarded with greater wealth?
Not a handout but an intelligent person should be able to figure out how to create more wealth for themselves.
No. It already is intrinsically.
Think of it like this. In a group of adventures in D&D, one player has the highest intelligence modifier. She he be rewarded with more gold at the end of each dungeon simply because he's the smartest? No, that wouldn't make sense. Either everyone splits the loot up equally, or they divide it up based on how much work each character did. The latter probably doesn't lead to a healthy D&D group.
Intelligence is one thing,using it to its potential is another.
As in "you're intelligent, here is your reward." No. If you're asking if someone uses their to intelligence to make themselves wealthy, then of course.
Not inherently, but if you can use that intelligence to do something that someone else finds useful and valuable, then sure.
The useful application of that intelligence will be rewarded.
Not sure how that would work.
If this intelligence is displayed in a way that is useful to the employer, yes, it should be compensated. People shouldn't be given higher salaries simply because they have a higher IQ score than the average employee, however.
Intelligence is too subjective and in the case of the military too often wrong or incomplete.