No, we want to be led through your analysis step by step. Your thesis contains a claim, and your essay will prove that claim. Break down those steps of proof. Your notes from reading and researching will come in handy here, too. Again, however you choose to do it, go back to your notes and reorganize all that information you spent so much time finding.
Outlines are wonderfully malleable.
It is much easier to move ideas around and keep your eye on the big picture when you're dealing with an outline, rather than a fully written text which you are trying to edit. Work with your outline until it flows well from one idea to the next, and until you have solid support for all your major ideas lined up. In making your outline, you might discover holes in your research and decide to go back to the library. Keep working with it, because the key to a good essay is a good outline. Another virtue of a good outline is that it makes the final paper much easier to write.