I think some alternate picking would help make it sound more fluid. Really focus on your tension in the right arm and releasing it. Also tension in your left hand. Don't press too hard on the back of the neck with your left hand. For some reason tension can be heard easily in playing. The rhythm parts sound great.
You obviously have the speed if you can play it in all downstrokes. Some alternate picking will help you play more efficiently and you could play nearly twice as fast. Really work on loosening the right wrist. It's hard to do, but will help, especially in the alternate picking. The fast alternate picking some do with their arm, others do with the wrist. I was surprised to see how much Loomis plays with the arm. He only seems to do this with really fast parts. Stevie Ray also played with his arm too almost all the time. But I noticed most really fast players, especially in thrash have a really loose right wrist and almost always play that way.