Just a few points:

Rather it is knowledge that you EXPERIENCE emotionally, however the knowledge was still a logical brain process. Its like this, imagine a music cd. Imagine all the digital information that cd has. But you don't experience that cd as digital computer information, no, you hear music. Intuition may be a feeling - but theres a hotbed of information behind it.
I agree with everything you said, except the part where you state that intuition is knowledge you experience emotionally. I'll use the neuroscience background to develop this disagreement:

Intuition is simply unconscious processing. It basically derives from earlier knowledge (and here I agree with Alric), but it's not necessarily related to emotion. The thing might provoke emotion is actually the fact that you can't justify your intuition. This is because the conclusion you've reached had it's processed hidden, as the means for it were unconscious. One example of the mechanism of intuition is pattern recognition. We tend to have more intuitions with things that hold any resemblance to a situation we've found previously. The thing is, we might not even be aware of this resemblance, but if our brain is, chances are that we are going to end up with an intuition, besides not knowing anything about the subject. This method of subconscious processing can be seen in many experiments. For example:

A group of people draws cards from 2 decks: picking a red card from any of it gives the person 20 dollars, and a black card the person looses 20 dollars. There's a pattern that defines that a certain deck gives bad results, but it's not easy to spot. The thing is, people can at some point start avoiding that deck several rounds before they even understanding that the experiment is controlled and one deck is bad. This is pattern recognition unconscious processing, and the intuition that a deck is bad a result of it.

The other component of intuition is heuristics. As most of you may know, they refer to shortcuts our brain uses to act and think about something. Heuristics are of course very useful, because otherwise we'd take ages to process many things we face during the day. They can also trigger an intuition, so it's not always a bad thing to follow it. The most important thing is finding out what triggered the intuition: that is the best way to determine if you should follow it or not. Of course, it's not always enough.

But sorry, only gave a quick read to the replies, will continue reading ^^