Magic fingers, your renditions are interesting, you are already a masterful player with your own sort of style. But maybe you could start the tune playing with less motion and intensity and build it up to more intensity and motion as the piece develops. It sounded like you were doing the grand climax at the beginning instead of towards the end. If you start at a super high intensity level there is nowhere to go from there and it becomes overwhelming to listen to. But keep doing what you are doing and don't let others coax you into a mold, don't try to sound like every other player. Do listen to some Keith Jarrett and Bill Evans solo piano and notice how the arcs of intensity develop in their performances. .
I think you need to do two things: 1. Get a basic understanding of jazz theory, such as chord progressions, jazz scales and voicings. The Jazz Piano Book is a good recommendation. 2. Listen to a lot of great improvisers. Even better, get some transcriptions of improvisations. There are plenty out there. Get a book of Bill Evans transcriptions, or Oscar Peterson. You don't necessarily learn anything specific, but you slowly absorb new ideas and sounds from listening to the masters which eventually seep into your improvisation.
I've been studying jazz for years, but I still try to listen almost everyday (IPod at the gym!).
Classical requires reading and memorization but "sight reading" is not essential. Sight reading means the ability to play a piece the first time you look at it. Improvisation refers to spontaneous "composition" in the moment. I don't believe the compositions of Bach and Beethoven were quite their improvisations written down. They could have begun from improvisations, but Bach and Beethoven carefully worked and reworked their compositions, thus the results were not exactly spontaneous. But maybe in a few cases they were.