The story of any heat engine is the story of the flow of energy as the working fluid is heated by fuel, and then the heat is exchanged for work by some physical means. There is nothing wrong with thinking about the velocity of the gas stream as doing work, but it is not the origin of that work, only an intermediate step.
Paul, the way you are analyzing a turbine engine is as if you looked at a light bulb as the start and the electric generator as the end of a system that converted darkness into fuel.
I do suggest that you take a peek at a thermodynamics text, you are far and away over your head on this subject, although I am sure your intentions are good.
SASless, if I put up a picture of a mailman, will you bark?